How many numbers lying between 1000 and 2000 and divisible by 5 can be made with the digits 1, 2, 3, 5, 7 and 9? (Digits are not to be repeated in any number).

xyz = 24

24 = 2³ × 3

Let’s distribute 2, 3 among 3 variables. No. of positive integral solution =

No. of ways to distribute =

Rahul can occupy any one of the two corner positions and therefore, Rahul can occupy a position in two ways.

The other four people can seat themselves in 4! ways, that is, 24 ways.

Total ways = 2 * 24 = 48 ways.