The number of 5 digit numbers which are divisible by 4 , with digits from the set $\{1,2,3,4,5\}$ an

Question

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

Professor PC Thomas Classes · Answer

(625) : The last two digits can be 12,24 , $32,44,52$ for the number to be divisible by 4 . $	herefore \quad$ The number of ways $=5 \cdot 5 \cdot 5 \cdot 5=625$\