Analysis and Approaches for IBDP Maths Ebook 2 | Page 233

Exercise 72
1. In order to form a team to join a debate competition, a team of four is to be chosen from a
group of five boys and five girls from a debate club.
(a)
(b)
(c)
Find the number of different possible teams that could be chosen.
[2]
Find the number of different teams that could be chosen, if the team includes one
boy and three girls.
[2]
Find the number of different teams that could be chosen, if the team includes at
most two girls.
[2]
2. There are 9 students and 7 teachers in a committee. 6 people are selected from the
committee to form a team.
16
(a)
(b)
(c)
Find the number of possible teams that can be formed.
[2]
Find the number of teams that can be formed if 4 students and 2 teachers are
included.
[2]
Find the number of teams that can be formed if the number of students included in
the team is an odd number.
[2]
3. A queue is formed by 5 boys and 7 girls.
(a)
(b)
Find the number of queues that can be formed if boys and girls are separated into
two different groups.
[3]
Six people are selected to leave the queue. Find the number of possible selections
if at most one male is selected.
[2]
4. Ten toys are assigned to three children Aaron, Billy and Clement. Aaron receives four
toys, Billy receives r toys and the remaining toys are assigned to Clement. It is given
that the total number of ways to assign the toys is 1260.
(a) Find the possible values of r .
(b)
Write down the value of r if Clement receives the most number of toys.
[5]
[1]
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