MULTIPLE CHOICE. Choose the one alternative that best completes the statement or

Question

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the questions. [2.5 Points x 40 100 Points] 1. A restaurant offered salads with 4 types of dressing and 5 different toppings. How many different types of salad could be ordered? A) 16 B) 20 C) 9 D) 25 10: 8: A) 1o B) 10 8 C) 90 D) 2 3. A saleswoman packed 3 jackets and 6 skirts. With one jacket, she could wear all 6 skirts. With another jacket, she could wear 5 skirts. With the third jacket, she could wear only 2 skirts. How many different combinations did she have? A) 60 B) 13 C) 32 D) 12 4. Consider determining how many possible phone numbers are with a particular area code (repeated numbers allowed). Is this a combination, a permutation, or neither? A) Combination B) Permutation C) Neither D) Not adequate information to determine 5. Determine the number of combinations of 7 things taken 3 at a time. A) 48 B) 105 C) 35 D) 840

Explanation / Answer

1.

2*2*2*2= 16

There are 4 type of salad .

Each one is either selected or not selected so 2 possible.

2.

10!/8! = 10*9*8!/8!= 10*9= 90

3.

there are 3 jackets

1st one have 6 skirts possibilites

2nd one has 5 skirts possibilites

3rd one has 2 skirts possibilites

so there are total 6*5*2=60 possibilites

4.

Permutation

5.

7 C 3 = 7!/(3!4!) = 7*6*5*4! /3!4! = 7*6*5 / 6 = 7*5 = 35

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