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PreCalc Counting, Permutation, and Combination QUIZ

Mathematics

11th - 12th Grade

Used 8+ times

PreCalc Counting, Permutation, and Combination QUIZ
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12 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A Restaurant offers 3 sizes of pizza, 3 types of crust, and 10 toppings. How many possible combinations of pizza with one topping are there?

90

10 P 3

10 C 3

30

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many passwords of 4 letters and 2 digits can be created if nothing can be repeated?

10*10*10*10*26*26

26*26*26*26*10*10

26*26*26*26*10*9

26*25*24*23*10*9

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many passwords of 4 letters and 2 digits can be created if everything can be repeated?

10*10*10*10*26*26

26*26*26*26*10*10

26*26*26*26*10*9

26*25*24*23*10*9

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many teams of 4 horses could be made if there were 9 horses in the stable?

9 C 4

9 P 4

9!

 9!4!\frac{9!}{4!}  

5.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

A lock manufacturer uses the numbers 1-30 in its combinations. How many different combinations for the lock are there if it uses 3-number combinations with no repetition.

30×29×2830\times29\times28

30 P 3

30 C 3

30×30×3030\times30\times30

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Mike has nine baseball trophies to arrange on the shelf. How many different ways can they be arranged?

9 P 8

9!

9 C 8

Mike needs to go work on his game instead of bragging about how many trophies he has.

7.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

In a math class, there are 24 students. The teacher picks 4 students to help do a demonstration. How many different groups of 4 could she have chosen?

24!(4!)(20!)\frac{24!}{\left(4!\right)\left(20!\right)}

24×23×22×2124\times23\times22\times21

24 P 4

24 C 4

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