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.)

Show Answer

Answer:

Correct Answer: 8. (625)

Solution:

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

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

$\therefore$ 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 \times 5 \times 5 \times(5 \times 1)=625 $



NCERT Chapter Video Solution

Dual Pane