Question

The number of six digit numbers that can be formed from the digits $1,2,3,4,5,6\&7$ so that digits do not repeat and the terminal digits are even is:

• A. $2160$
• B. $72$
• C. $288$
• D. $720$

Answer 1

The correct option is A $2160$

$\underset{–}{6}\times \underset{–}{5}\times \underset{–}{4}\times \underset{–}{3}\times \underset{–}{2}=720$

$\underset{–}{6}\times \underset{–}{5}\times \underset{–}{4}\times \underset{–}{3}\times \underset{–}{2}=720$

$\underset{–}{6}\times \underset{–}{5}\times \underset{–}{4}\times \underset{–}{3}\times \underset{–}{2}=720$

$\therefore$ Total no. of 6-digit no. that can be

formed are : 720+720+720 = 2160