How many even numbers can be formed by using all the digits 2, 3,… - Vidyadip

MCQ

How many even numbers can be formed by using all the digits 2, 3, 4, 5, 6?

A
72
B
36
C
120
D
24

✓

Answer

(a) 72
Explanation: To form an even number the last number can only be an even digit, therefore the number of impossibility for
the last digit of number = 3
Now the ten's place can be filled by any of the remaining 4 digits, and hence the no. of ways for ten's place = 4
Then there remain three digits, so no. of ways of filling hundred's place = 3
Similarly no. of ways of filling thousand's place = 2 and of ten thousand = 1
Therefore, the total possibilities are = 3 x 4 x 3 x 2 x 1 = 72

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