{"id":11956,"date":"2018-03-06T16:52:41","date_gmt":"2018-03-06T11:22:41","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=11956"},"modified":"2018-03-06T16:54:06","modified_gmt":"2018-03-06T11:24:06","slug":"permutation-and-combination-questions-for-sbi-clerk","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/permutation-and-combination-questions-for-sbi-clerk\/","title":{"rendered":"Permutation and Combination Questions for SBI Clerk"},"content":{"rendered":"<p><span style=\"text-decoration: underline;\"><strong>Permutation and Combination Questions for SBI Clerk:<\/strong><\/span><\/p>\n<p>Download permutation and combinations questions and answers. Useful for banking exams of SBI Po and SBI clerk.<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/downloads\/160\" target=\"_blank\" class=\"btn btn-info  download\">Download Permutation and Combination Questions for SBI Clerk<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/pay\/34L2Z\" target=\"_blank\" class=\"btn btn-alone \">75 SBI Clerk Mocks &amp; Sectionals &#8211; Rs. 360<\/a><\/p>\n<p>Download all <a href=\"https:\/\/cracku.in\/blog\/sbi-clerk-important-questions-answers-pdf\/\" target=\"_blank\" rel=\"noopener\">SBI Clerk questions and Answers PDF\u00a0<\/a><\/p>\n<p>For more questions visit <a href=\"https:\/\/cracku.in\/sbi-clerk-previous-papers\" target=\"_blank\" rel=\"noopener\">SBI Clerk Previous question papers (solved)<\/a><\/p>\n<p><strong>Question 1:<\/strong> Letters of the word DIRECTOR are arranged in such a way that all the vowel come together .Find the No of ways making such arrangement?<\/p>\n<p>a) 4320<br \/>\nb) 720<br \/>\nc) 2160<br \/>\nd) 120<br \/>\ne) None of these<\/p>\n<p><strong>Question 2:<\/strong> Certain number of pieces of an article are to be packed in boxes, such that each box contains 145 pieces. If after packing them in 32 boxes 25 pieces are left out, what was the number of pieces to be packed ?<\/p>\n<p>a) 4566<br \/>\nb) 4655<br \/>\nc) 4465<br \/>\nd) 4640<br \/>\ne) None of these<\/p>\n<p><strong>Question 3:<\/strong> How many such pairs of letters are there in the word FOREHAND each of which have as many letters between them in the word as they have in the English alphabet?<\/p>\n<p>a) None<br \/>\nb) One<br \/>\nc) Two<br \/>\nd) Three<br \/>\ne) More than three<\/p>\n<p><strong>Question 4:<\/strong> If it is possible to make only one meaningful word from the second, the fourth, the sixth and the ninth letters of the word PROACTIVE, using each letter only once, second letter of that word is your answer. If more than one word can be formed your answer is M and if no such word can be formed your answer is N.<\/p>\n<p>a) A<br \/>\nb) E<br \/>\nc) T<br \/>\nd) M<br \/>\ne) N<\/p>\n<p><strong>Question 5:<\/strong> In how many different ways can the letters of the word DRASTIC be arranged in such a way that the vowels always come together ?<\/p>\n<p>a) 720<br \/>\nb) 360<br \/>\nc) 1440<br \/>\nd) 540<br \/>\ne) None of these<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/sbi-clerk-previous-papers\" target=\"_blank\" class=\"btn btn-danger \">SBI Clerk Previous question Papers<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/blog\/sbi-clerk-expected-cut-off-2018-prelims-mains\/\" target=\"_blank\" class=\"btn btn-info \">SBI Clerk expected Cutoff 2018<\/a><\/p>\n<p><strong>Question 6:<\/strong> In how many different ways can the letters of the word \u2018FRANCE\u2019 be arranged?<\/p>\n<p>a) 2400<br \/>\nb) 720<br \/>\nc) 2005<br \/>\nd) 5040<br \/>\ne) None of these<\/p>\n<p><strong>Question 7:<\/strong> In how many different ways can the letters of the word \u2018CREAM\u2019 be arranged?<\/p>\n<p>a) 720<br \/>\nb) 240<br \/>\nc) 360<br \/>\nd) 504<br \/>\ne) None of these<\/p>\n<p><strong>Question 8:<\/strong> In how many different ways can the letters of the word \u201cARISE\u2019 be arranged?<\/p>\n<p>a) 90<br \/>\nb) 60<br \/>\nc) 180<br \/>\nd) 120<br \/>\ne) None of these<\/p>\n<p><strong>Question 9:<\/strong> In how many different ways can the letters of the world \u2018SECOND\u2019 be arranged?<\/p>\n<p>a) 720<br \/>\nb) 120<br \/>\nc) 5040<br \/>\nd) 270<br \/>\ne) None of these<\/p>\n<p><strong>Question 10:<\/strong> In a bag, there are 6 red balls and 9 green balls. Two balls are drawn at random, what is the probability that at least one of the balls drawn is red ?<\/p>\n<p>a) 29\/35<br \/>\nb) 7\/15<br \/>\nc) 23\/35<br \/>\nd) 2\/5<br \/>\ne) 19\/35<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/sbi-clerk-online-mock-tests\" target=\"_blank\" class=\"btn btn-primary \">Take a Free SBI Clerk Mock test<\/a><\/p>\n<p><span style=\"text-decoration: underline;\"><strong>Solutions for\u00a0Permutation and Combination Questions for SBI Clerk:<\/strong><\/span><\/p>\n<p><strong>Solutions:<\/strong><\/p>\n<p><strong>1) Answer (A)<\/strong><\/p>\n<p>Word &#8211; DIRECTOR<br \/>\nSo \u201cI,E,O\u201d are there are 3! ways to arrange the vowels<br \/>\nNow \u201cD,R,C,T,R\u201d are the remaining alphabets ,<br \/>\nCondition is that the vowels should always be together so we can assume the vowels as a single alphabet\/unit say \u201cX\u201d (\u2018X\u2019=\u2019I,E,O\u2019) so now we have a new word &#8211; \u201cD,R,C,T,R,X\u201d<br \/>\nPossible arrangements for this word = 6!<br \/>\nThus total number of ways to rearrange DIRECTOR with vowels grouped together = (Possible arrangements of \u2018DRCTRX\u2019) $$\\times$$ (Possible arrangements of vowels)<br \/>\n= 6! $$\\times$$ 3! = $$720 \\times 6 = 4320$$<br \/>\n=&gt; Ans &#8211; (A)<\/p>\n<p><strong>2) Answer (E)<\/strong><\/p>\n<p>No. of pieces<br \/>\n= 32 * 145 + 25<br \/>\n= 4640 + 25 = 4665<\/p>\n<p><strong>3) Answer (C)<\/strong><\/p>\n<p>Word = FOREHAND<br \/>\nThere are 2 pairs of letters\u00a0which have as many letters between them in the word as they have in the English alphabet<br \/>\nFA and RN<\/p>\n<p><strong>4) Answer (D)<\/strong><\/p>\n<p>Word = PROACTIVE<br \/>\n2nd, 4th, 6th and 9th letters = R, A, T, E<br \/>\nNo. of words that can be formed by using (R,A,T,E)<br \/>\n= Rate , Tear<br \/>\nSince only 2 words are formed<br \/>\n=&gt; Ans = M<\/p>\n<p><strong>5) Answer (C)<\/strong><\/p>\n<p>There are 7 letters in the word &#8216;DRASTIC&#8217; including 2 vowels (A,I) and 5 consonants (D,R,S,T,C).<br \/>\nConsidering the two vowels as 1 letter, we have 6 letters which can be arranged in 6! ways<br \/>\nBut \u00a0corresponding to each way of these arrangements, the vowels can be put together in 2! ways.<br \/>\nHence, required number of words = $$6! \\times 2!$$<br \/>\n= 720 * 2 = 1440<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/banking\/study-room\" target=\"_blank\" class=\"btn btn-danger \">SBI Clerk Free Practice Questions<\/a><\/p>\n<p><strong>6) Answer (B)<\/strong><\/p>\n<p>The word FRANCE consists of 6 distinct letters<br \/>\n=&gt; Required number of arrangements = 6!<br \/>\n= 720<\/p>\n<p><strong>7) Answer (E)<\/strong><\/p>\n<p>The word CREAM consists of five distinct letters<br \/>\n=&gt; No. of ways the letters will be arranged =\u00a0<span class=\"katex\"><span class=\"katex-mathml\">5!<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathrm\">5<\/span><span class=\"mclose\">!<br \/>\n<\/span><\/span><\/span><\/span>= 120<\/p>\n<p><strong>8) Answer (D)<\/strong><\/p>\n<p>The word &#8216;ARISE&#8217; has 5 different letters<br \/>\n=&gt; Required number of arrangements = $$5!$$<br \/>\n= $$5 \\times 4 \\times 3 \\times 2 \\times 1 = 120$$<\/p>\n<p><strong>9) Answer (A)<\/strong><\/p>\n<p>The word &#8216;SECOND&#8217; has 6 different letters<br \/>\n=&gt; Required number of arrangements = $$6!$$<br \/>\n= $$6 \\times 5 \\times 4 \\times 3 \\times 2 \\times 1 = 720$$<\/p>\n<p><strong>10) Answer (C)<\/strong><\/p>\n<p>Probability that at least 1 ball is red = 1 &#8211; probability that none of them is red.<br \/>\nProbability that none if the two balls is red = (9\/15)(8\/14)<br \/>\nProbability that at least 1 ball is red = 1 &#8211; probability that none of them is red. = 1- [(9\/15)(8\/14)] = (210-72)\/210<br \/>\n= 138\/210<br \/>\n=23\/35<br \/>\nOption C is the correct answer.<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/banking\/quotient\" target=\"_blank\" class=\"btn btn-info \">SBI Clerk Daily practice tests<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/sbi-clerk-online-mock-tests\" target=\"_blank\" class=\"btn btn-primary \">SBI Clerk Free Mock Test<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Permutation and Combination Questions for SBI Clerk: Download permutation and combinations questions and answers. Useful for banking exams of SBI Po and SBI clerk. Download all SBI Clerk questions and Answers PDF\u00a0 For more questions visit SBI Clerk Previous question papers (solved) Question 1: Letters of the word DIRECTOR are arranged in such a way [&hellip;]<\/p>\n","protected":false},"author":21,"featured_media":11961,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"categories":[169,125,232],"tags":[427],"class_list":{"0":"post-11956","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-downloads","8":"category-featured","9":"category-sbiclerk","10":"tag-sbi-clerk-2018"},"better_featured_image":{"id":11961,"alt_text":"Permutation and Combination Questions for SBI Clerk","caption":"Permutation and Combination Questions for SBI Clerk","description":"Permutation and Combination Questions for SBI 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