The number of 5-digited number which are not divisible by 5 and which consists of different odd digits is
The number of 5-digited number which are not divisible by 5 and which consists of different odd digits is
$24$
$32$
$96$
$120$
Solution
The numbers are formed from the digits
$1,3,5,7,9$
Total no. of five digits $=5$ !
Total no. of five digits divisible by $5=4$ !
$\therefore$ Required number of ways
$=5 !-4 !=4.24=96$