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

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

anonymous · Answer

all by the counting principle
$6\times 12$ for the first one

anonymous · Answer

$$8!=8\times 7\times 6\times 5\times 4\times 3\times 2$$ for the second

anonymous · Answer

and finally $10\times 9$ for the third

anonymous · Answer

@satellite73 For the third one, why did you only times 10 by 9? I thought there was more to that. I used the combinations formula for this problem and got 45 ways.

anonymous · Answer

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