In how many ways can a chairperson, a secretary and a treasurer be chosen from 6 club members if no member holds two posts?
Answer and explanation
Correct answer: A.
- Step 1: The posts are different, so order matters: .
- Step 2: .
Answer
.
Why not the others: : order was ignored, which gives combinations. : repetition was allowed, so one member could hold every post. : all the members were arranged, not just the ones holding posts.
Practise more Probability, counting and statistics.
Free questions with an explanation for every one, and full timed South Africa Matric mock tests.
More Probability, counting and statistics questions
- How many different arrangements of all the letters of the word MISSISSIPPI are possible?
- For events A and B: , and . Calculate .
- A and B are independent events with and . Calculate .
- In how many ways can a chairperson and a secretary be chosen from 6 club members if no member holds two posts?
- For events A and B: , and . Calculate .
- In how many ways can a chairperson, a secretary and a treasurer be chosen from 7 club members if no member holds two posts?