The number of 3-digit even numbers that can be formed from the digits 0,1,2,3,4 and 5, repetition of digits being not allowed, is

Options

A. 60
B. 56
C. 52
D. 48

Answer

C

Explanation

No. of digits to be filled at one's place = 3
No. of digits to be filled at 10's place = 5
No. of digits to be filled at 100's place = 4
`:.` Total no. of digits formed `= 3 xx 5 xx 4 = 60`
If zero is at 100's place,
Then, no. of digits to be filled at one's place = 2
& no. of digits to be filled at 10's place = 4
`:.` No. of digits formed with zero at 100's place
`= 1 xx 2 xx 4 = 8`
`:.` Required no. of digits formed `= 60 - 8 = 52`