2025 IGCSE Additional Mathematics February/March 0606/22 Q4

7 marks

A team of 10 players is to be chosen from 15 players.
1. Find the number of different teams that can be chosen if there are no restrictions.[1]
  The 15 players include 3 sisters who must not be separated.
2. Find the number of different teams that can be chosen.[3]
A 6-digit number is to be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.
The 6-digit number cannot start with 0 and all six digits must be different.
Find how many 6-digit numbers can be formed if the 6-digit number is even.[3]

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Answer:(a)(i) \(3003\) (a)(ii) \(858\) (b) \(68880\)

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