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Nov 2021 p53 q1
2886
The 26 members of the local sports club include Mr and Mrs Khan and their son Abad. The club is holding a party to celebrate Abad’s birthday, but there is only room for 20 people to attend.
In how many ways can the 20 people be chosen from the 26 members of the club, given that Mr and Mrs Khan and Abad must be included?
Solution
Since Mr and Mrs Khan and Abad must be included, we have already chosen 3 people. Therefore, we need to choose 17 more people from the remaining 23 members of the club.
The number of ways to choose 17 people from 23 is given by the combination formula: