Q.

The number of five digit numbers, greater than 40000 and divisible by 5, which can be formed using the digits 0, 1, 3, 5, 7 and 9 without repetition, is equal to     [2023]

1 132   
2 120  
3 72   
4 96  

Ans.

(2)

Numbers greater than 40000 and divisible by 5 can be formed using digits 0, 1, 3, 5, 7, 9 in the following ways:

                       Number of ways
5 _ _ _ 0 4 × 3 × 2 × 1 = 24
7 _ _ _ 0  
7 _ _ _ 5 4 × 3 × 2 × 2 = 48
9 _ _ _ 0  
9 _ _ _ 5 4 × 3 × 2 × 2 = 48

 

Total number of ways = 24 + 48 + 48 = 120