Ye Hai Luo
New member
- Joined
- Aug 5, 2021
- Messages
- 5
Question 1
(a) There are 6 students, Alfie, Ben, Carol, Dennis, Edward and Fenny
(i) In how many ways can these 6 students be seated in 5 chairs? (2 marks)
(ii) If Carol must sit in chair number 1, how many difference ways now? (3 marks)
(iii) If Dennis can sit anywhere except in chair no 1and Fenny must sit in chair no 3, how many difference
ways now? (4 marks)
(b) There are 6 girls and 7 boys in a club.
(i) In how many ways can we select a committee of 5 students? (2 marks)
(ii) In how many ways can we select a committee of 3 girls and 4 boys? (3 marks)
(iii) In how many ways can we select a committee of 4 students that at least one girl? (3 marks)
(iv) In how many ways can we select a committee of 4 students that at most one boy?
(3 marks)
(a) There are 6 students, Alfie, Ben, Carol, Dennis, Edward and Fenny
(i) In how many ways can these 6 students be seated in 5 chairs? (2 marks)
(ii) If Carol must sit in chair number 1, how many difference ways now? (3 marks)
(iii) If Dennis can sit anywhere except in chair no 1and Fenny must sit in chair no 3, how many difference
ways now? (4 marks)
(b) There are 6 girls and 7 boys in a club.
(i) In how many ways can we select a committee of 5 students? (2 marks)
(ii) In how many ways can we select a committee of 3 girls and 4 boys? (3 marks)
(iii) In how many ways can we select a committee of 4 students that at least one girl? (3 marks)
(iv) In how many ways can we select a committee of 4 students that at most one boy?
(3 marks)