Question 60

How many such pairs of letters are there in the word SEARCHES each of which has many letters between them in the word as in the English alphabet ?

Solution

So, the question essentially asks to find out pairs of letters in the given word "SEARCHES" which have same number of letter between them as there are in english alphabet. We can start with the first letter initially and then try to check for subsequent letters. Lets take S now SE have 31 letter between them in english alphabets, here they don't have any letter so this cannot be a possible pair. Lets move on to SA again TI have just 1 letter between them which is not the case in actual english alphabets. Proceeding in a similar manner we can find that words fulfilling the given requirement are

CE, AC,AE . So there are 3 possible pairs.


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