Class 11

Math

Co-ordinate Geometry

Straight Lines

Using the digits $0,2,4,6,8$ not more than once in any number, the number of $5$ digited numbers that can be formed is

- 16
- 24
- 120
- 96

Among these the ones starting with 0, are 4!.

Hence the total number of 5 digit numbers will be

$5!−4!$

$5!−4!$

$=4!(4)$

$=24×4$

$=96$