3. A yogurt shop offers 6 different flavors of frozen yogurt and 12 different toppings. How many choices are possible for a single serving of frozen yogurt with one topping?

144

72

36

665,280

4. In how many different orders can you line up 8 cards on a table?

8

1

1,680

40,320

5. There are 10 students participating in a spelling bee. In how many ways can the students who go first and second in the bee be chosen?

1 way

90 ways

3,628,800 ways

45 ways

Question

Lexi Case

Mathematics

27 December, 22:22

3. A yogurt shop offers 6 different flavors of frozen yogurt and 12 different toppings. How many choices are possible for a single serving of frozen yogurt with one topping?

144

72

36

665,280

4. In how many different orders can you line up 8 cards on a table?

8

1

1,680

40,320

5. There are 10 students participating in a spelling bee. In how many ways can the students who go first and second in the bee be chosen?

1 way

90 ways

3,628,800 ways

45 ways

+5

Answers (1)

Know the Answer?

Roach · Answer 1

The correct answers are: #3) 72; #4) 40,320; #5) 90.

Explanation:

#3) The number of possible choices are found by multiplying the choices of flavors and the choices of toppings:

6*12=72.

#4) The ordering of 8 cards is a permutation, given by 8!=40,320.

#5) This is a permutation of 10 objects taken 2 at a time:

P (10,2) = 10! / (10-2) !=10!/8!=90.