11 Specialist Mathematics - Ch 7 Combinatorics

Quiz
•
Mathematics
•
11th Grade
•
Medium

Graham O'Shanesy
Used 130+ times
FREE Resource
11 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Bao plans to study six subjects in Year 12. He has already chosen three subjects and for the remaining three he plans to choose one of four languages, one of three mathematics subjects and one of four science subjects. How many ways can he select his remaining subjects?
6
11
48
165
990
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
There are three flights directly from Melbourne to Brisbane. There are also two flights from Melbourne to Sydney and then four choices of connecting flight from Sydney to Brisbane. How many different paths are there from Melbourne to Brisbane?
9
11
18
20
24
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
In how many ways can 10 people be arranged in a queue at the bank?
10!
1010
210
10C2
10C1
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
How many three-digit numbers can be formed using the digits 1, 2, 3, 4, 5 and 6 at most once?
6C3
3!
6!
6 x 5 x 4
6 + 5 + 4
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
How many permutations of the word UTOPIA begin and end with a vowel?
90
288
384
720
4320
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
How many ways can four identical red flags and three identical blue flags be arranged in a row?
4 x 3
7! / (4! x 3!)
7! x 3! x 4!
4! x 3!
2! x 3! x 4!
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
How many ways can three DVDs be chosen from a collection of nine different DVDs?
3!
9 x 8 x 7
9C3
9! / 3!
3 x 9
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