FCP and Factorials

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15
• 40
• 80
• 10

The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which shows the complete set of possible combinations?

• TW, CW, PW
• TW, TM, TC, CW, PW
• TW, TM, CW, CM, PW, PM
• TCP, MW

How many 5-digit zip codes are possible if digits can be repeated? Enter your answer without commas or spaces.

How many 5-digit zip codes are possible if digits cannot be repeated? Enter your answer without commas or spaces.

How many different ways can 6 different video game cartridges be arranged on a shelf? Enter the final answer.

It states that if there are p ways to do one thing, and for each of these ways there are q ways to do another thing, then there are p × q ways to do both things.

• COMBINNATION

• FUNDAMENTAL COUNTING PRINCIPLE

• PERMUTATION

If Jun has 12 T-shirts, 6pairs of pants, and 3 pairs of shoes, how many possibilities can he dress himself for the day?

• 216

• 126

• 621

How many four digit numbers can be formed from the numbers 1,3, 4, 6, 8, and 9 if repitition is not allowed?

• 360

• 125

• 432

Can a factorial be defined for a negative number?

• YES

• NO