Mathematics 9709 · AS & A Level · Permutations and combinations
Permutations and combinations — practice question
A village social club has just been formed and includes 10 members, comprising 6 men and 4 women. The committee of the club is to be made up of 5 members.
(a)[4]
In how many ways may the 5-member committee be selected if it must contain at least 2 men and at least 1 woman?
(b)[2]
How many distinct arrangements of the 10 members are possible if all the men stand together and all the women stand together?
(c)[4]
How many distinct arrangements of the 10 members are there if Olly and Petra must stand next to each other in the front row?
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Uses combinations correctly to count one valid case.” …