PreCalc Counting, Permutation, and Combination QUIZ

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

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

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

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

• 9 C 4

• 9 P 4

• 9!

•  $\frac{9!}{4!}$  

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.

• $30\times29\times28$

• 30 P 3

• 30 C 3

• $30\times30\times30$

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.

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?

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

• $24\times23\times22\times21$

• 24 P 4

• 24 C 4

In how many ways can 10 people wait in line for concert tickets?

• 10!

• $10\times9\times8\times7\times6\times5\times4\times3\times2\times1$

• 10 P 5

• 1

The teacher has listed 30 books as book report options. You must read 5. How many different sets of 5 books could you have chosen to read?

• 30 P 5

• 30!

• 5!

• 30 C 5

• 5 C 30

Select the words associated with permutations.

• order

• set

• group

• arranged

• committee