There are 720 permutations of the digits 1, 2, 3, ,4 ,5, 6. Suppose these permutations are arranged from smallest to largest numerical values, beginning from 123456 and ending with 654321. Then the digit in unit place of number at 267th position is________.

Options

A. Number falls on the `124^(th)`position is `213564`
B. The position of the number `321546` is `267`
C. Number falls on the `124^(th)` position is `223564`
D. The position of the number `321546` is `261`

Answer

A