## THIS USER ASKED ๐

**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**

## THIS IS THE BEST ANSWER ๐

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

Explanation:

# 3) The number of possible choices is found by multiplying flavor and topping choices:

6 * 12 = 72.

# 4) Ordering 8 cards, given at 8 is a violation! = 40,320.

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

P (10.2) = 10! / (10-2)! = 10! / 8! = 90.