NTA Abhyas JEE Main2020MathematicsPermutation and CombinationPractice
The number of even numbers of four digits that can be formed using the digits 0 ,   1 ,   2 ,   3 ,   4 and 5 is
Options
- A180
- B156
- C144
- D198
Correct answer
B. 156
Step-by-step solution
(i) When 0 is at unit place = 5 × 4 × 3 = 60 (ii) When 0 is not at unit place ⇒ 4 × 4 × 3 × 2 = 96 (First fill unit place by either 2 or 4 i.e. two ways. Since we can not put ‘ 0 ’ at the thousand place it can be filled in 4 ways, remaining as usual) Total ways = 60 + 96 = 156