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Question

Question: How many numbers can be made with the digits 3, 4, 5, 6, 7, 8 lying between 3000 and 4000 which are ...

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.

A

60

B

12

C

120

D

24

Answer

12

Explanation

Solution

3 must be at thousand place and since the number should be divisible by 5, so 5 must be at unit place. Now we have to filled two place (ten and hundred) i.e., 4P2=124P_{2} = 12.