1. You own 5 pairs of pants, 3 vests and 7 jackets. How many suit combinations c

Question

1. You own 5 pairs of pants, 3 vests and 7 jackets. How many suit combinations can you make? Show how you arrived at your answer.

2. How many license plates can be made using 3 letters of the alphabet and 3 one digit numbers?

3. How many license plates can be made using 3 letters of the alphabet and 3 one digit numbers is you cannot use any letter twice, but you can repeat numbers?

4. How many license plates can be made using 3 letters of the alphabet and 3 one digit numbers is you cannot use any letter twice and you cannot repeat numbers?

5. For how many n {1, 2, · · · , 500} is n a multiple of one or more of

Explanation / Answer

1. There are 5 pants, 3 vests and 7 jackets

The number of combination is :

5C1 *3C1* 7C1

=5*3*7

=105

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