Permutations and Combinations 3 Question 8

8. The number of 5 digit numbers which are divisible by 4 , with digits from the set 1,2,3,4,5 and the repetition of digits is allowed, is

(2018 Adv.)

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Answer:

Correct Answer: 8. (625)

Solution:

  1. A number is divisible by 4 if last 2 digit number is divisible by 4 .

Last two digit number divisible by 4 from (1,2,3,4,5) are 12,24,32,44,52

The number of 5 digit number which are divisible by 4 , from the digit (1,2,3,4,5) and digit is repeated is

5×5×5×(5×1)=625



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