The number of three-digit even numbers, formed by the digits 0 , 1 , 3 , 4 , 6 , 7 if the repetition of digits is not allowed, is______.

Step-by-step solution

We have, 0 , 1 , 3 , 4 , 6 , 7 For three-digit even number, it must end with either 0 ,   4 ,   6 The number of three -digit even numbers ending with 0 is = 5 × 4 = 20 The number of three -digit even numbers ending with 4 = 4 × 4 = 16 The number of three -digit even numbers ending with 6 = 4 × 4 = 16 Total three digits even numbers = 20 + 16 + 16 = 52