How many six-digit numbers are there in which no digit is repeated, even digits appear at even places, odd digits appear at odd places and the number is divisible by 4 ?

Options

A. 3600
B. 2700
C. 2160
D. 1440

Answer

D

Explanation

`{:(3"ways",3"ways",4"ways",4"ways",5"ways",2"ways"):}`
`(1,3,5,7,9) (2,6)`
`3 xx 3 xx 4 xx 4 xx 5 xx 2 = 1440`