The sum of all four-digit numbers that can be formed by using the digits 2, 4, 6, 8 (when repetition of digits is not allowed) is a. `133320` b. `5333280` c. `53328` d. none of these

Options

A. 8
B. 16
C. 32
D. 64

Answer

A, B, C

Explanation

`a=(n^(64)-1)/(n-1)`
`=(n+1)(n^(2)+1)(n^(4)+1)(n^(8)+1)(n^(16)+1)(n^(32)+1)`