jyoti chopra

CAT Preparation Community 5y ago

How many integer from 100- 999, both inclusive , don't contain any of the digit 2,3,4,5

11

bilal 5y ago

first time I sawthis type of question

bilal 5y ago

is it 400+ 4*84+64= 800 ?

Meghna Murthy 5y ago

Is it 192?

VIVEK VEMPATI 5y ago

180

bilal 5y ago

Kindly explain also, a humble request to all

bilal 5y ago

192 & 180 cant be answers atleast, as 200 to 299 have 100 digits, so 4*100 = 400 + should be answer

ANAND S 5y ago

180 The permissible digits are 0,1,6,7,8,9 First digit can be 1,6,7,8,9= 5 possibilities (0 not included as it would become a 2 digit number) Second and third digits can be any of the six values= 6*6 Total such numbers is 5*6*6=180

Vivek Chaudhary 5y ago

180

Meghna Murthy 5y ago

@Anand, you are missing out on numbers like 10, 60,70,80 etc.

Meghna Murthy 5y ago

@Bilal, The number should not contain 2,3,4,5 so anything that starts with 2(200,201,202..299), 3, 4,5 cannot be counted.

ANAND S 5y ago

@Meghna Murthy, the question asks for integers starting from 100, so 10, 60 etc.. can't be included.

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