FCP, Permutations, Combinations

This is a practice question. All questions in this activity must be answered with whole numbers or simplest fractions. Rewrite 0.6 in simplest fraction form.

1. A pizza shop makes pizza in 3 sizes: small, med, large.  There are 2 types of crust: thick and thin.  There are 4 toppings: sausage, pepperoni, ham and mushrooms.  How many different one topping pizzas can be made at the restaurant?

2.        In the game of Yahtzee, five (6-sided) dice are used.  How many different outcomes are possible when rolling these 5 dice?

3.     The combinations for the lockers at a school consist of 3 numbers.  Each number in the combination can be a number from 0-29.  How many locker combinations are possible?.

4.       A multiple choice test consists of 8 questions.  Each question has four choices (a – d).  How many ways are there to answer the eight questions?

5.      Social Security numbers contain 9 digits.  All social security numbers are equally likely.  How many different social security numbers are possible? 

6.       A password for an ATM card must consist of a 4-digit number such as 3055.  How many different passwords are possible in this configuration?

7. ₄P₃

8. ₇P₅

9. ₁₀P₃