2.15: Divisible 5-digit numbers and committee selection

0606/23/M/J/17 — Question 5 · 6 marks

(a)
How many 5-digit numbers are there that have 5 different digits and are divisible by 5?
[3]
(b)
A committee of 8 people is to be selected from 9 men and 5 women. Find the number of different committees that can be selected if the committee must have at least 4 women.
[3]