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Feb/Mar 2020 p52 q1
2822
The 40 members of a club include Ranuf and Saed. All 40 members will travel to a concert. 35 members will travel in a coach and the other 5 will travel in a car. Ranuf will be in the coach and Saed will be in the car.
In how many ways can the members who will travel in the coach be chosen?
Solution
Since Ranuf is already in the coach, we need to choose 34 more members from the remaining 38 members (excluding Saed who is in the car).
The number of ways to choose 34 members from 38 is given by the combination formula: