2.17: 5-digit numbers and team with women
(a)(i)[2]
Find how many different 5-digit numbers can be formed using five of the eight digits 1, 2, 3, 4, 5, 6, 7, 8 if each digit can be used once only.
(a)(ii)[2]
Find how many of these 5-digit numbers are greater than 60000.
(b)[2]
A team of 3 people is to be selected from 4 men and 5 women. Find the number of different teams that could be selected which include at least 2 women.