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. $144$
• B. $72$
• C. $288$
• D. $720$

Answer 1

Answer: (D)

$1^{st}$ place can be filled in $3$ ways and 6th place in $2$ ways and rest of the places in $5\times 4\times 3\times 2$ ways.
$\therefore$ Required numbers $=3\times 2\times 5\times 4\times 3\times 2=720$.