3.47: Team selections and even 6-digit numbers
(a) A team of 10 players is to be chosen from 15 players.
(a)(i)[1]
Find the number of different teams that can be chosen if there are no restrictions.
(a)(ii)[3]
The 15 players include 3 sisters who must not be separated. Find the number of different teams that can be chosen.
(b)[3]
A 6-digit number is formed using digits from –, no leading zero, all digits different. Find how many such 6-digit numbers are even.