Q.

How many numbers can be made with the digits 3 , 4, 5, 6, 7 ,8 lying between 3000 and 4000, which are divisible by 5 while repetition of any digit is not allowed in any number?

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a

60

b

12

c

120

d

24

answer is B.

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Detailed Solution

3 must be at thousand's place and since the number should be divisible by 5, 5 must be at unit's place. Now, we have to fill two places (tens and hundreds), i.e., 4P2 = 12.
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How many numbers can be made with the digits 3 , 4, 5, 6, 7 ,8 lying between 3000 and 4000, which are divisible by 5 while repetition of any digit is not allowed in any number?