
Combinations and Permutations MDM4U
Authored by Diana Marie Batista
Mathematics
12th Grade
Used 16+ times

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20 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
At the co-ed volleyball team try-outs, 15 girls and 8 boys show up. In how many ways can the coach create the team of 10 players if there must be exactly 5 girls and 5 boys on the team?
P(15,5)×P(8,5)
C(23,10)
C(15,5)×C(8,5)
P(23,5)/(5!5!)
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Joanna works at a bakery shop that has 8 different colours of sprinkles. How many different combinations of colours can customers choose to have on their cake if can choose at most 5 types?
218
219
256
255
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
In how many ways can you arrange 10 markers in a row if there are 4 blue markers, 2 green, 3 yellow and 1 red?
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
How many permutations are there of all the letters in the word BRONTECOLLEGE?
259,459,200
518,918,400
129,729,600
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
From a standard deck, how many four-card hands contain only red cards?
26!/4!
C(26,4)
P(26,4)
P(13,2)×P(13,2)
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Abuela is making a vegetable stew using 7 different possible vegetables. How many different combinations of vegetables can she put in the stew if she is using at least 1 vegetable?
8
128
120
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
There’s an upcoming Mathletes competition and there are 5 teachers interested in going and 16 students. In how many ways can the group of 10 people be made if there must be at least 2 teachers?
158,808
287,508
128,700
193,908
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