Vocabulary

Counting Principle - A method for finding the number of ways two or more events can occur. Simply multiply the number of possible ways the first event can occur times the number of ways the second event could then occur. If there are more than two events, continue to multiply the number of ways each event can occur until all have been accounted for.

Divisible - A number is divisible by another if, upon division, the remainder is zero.

Prime Number - Any whole number greater than 1 which has exactly two factors, 1 and itself.

Composite Number - Any whole number greater than 1 which has more than two factors.

Natural Numbers - The set of numbers represented by {1, 2, 3 ... }

Whole Numbers - The set of numbers represented by {0, 1, 2, 3 ...}

Rational Numbers - Any number that can be represented as a fraction a/b, where a and b are integers.

Integers - The set of numbers represented by {... -3, -2, -1, 0, 1, 2, 3 ...}

Combination - A selection of a group of items or events from a set without regard to order. (Order dosen't matter.)

Permutation - A selection of a group of items or events from a set with regard to order. (Order is important.)

Factorial - Products of all the positive integers equal to and smaller than a given number. They are indicated by an exclamation mark-- "four factorial" is written 4! and means 4 x 3 x 2 x 1 = 24 and 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720.

 
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Question 3

Karen, Jim, Sally, Bruce and Iris have all--at some point--been named Employee of the Month at the sandwich shop. The owner has decided to assign two permanent positions--Manager and Assistant Manager--and he has asked all of the employees to vote on who should fill each spot.

The person with the most votes will be named Manager, and the person with the second most votes will be named Assistant Manager.

How many different ways can the owner assign the two positions?

different ways
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