The number of four-digit numbers formed by using the digits 0 ,   2 ,   4 ,   5 and which are not divisible by 5 , is

Step-by-step solution

No. of four-digit numbers divisible by 5 = 6 + 4 = 10 _ _ _ 0 _ ⇒ 3 ! = 6 _ _ _ 5 _ ⇒ 3 ! - 2 ! = 4 Total four-digit numbers = 4 ! - 3 ! = 18 ∴ Required cases = 18 - 10 = 8