Counting Principal

Front

What is the Counting Principle?

Back

The Counting Principle states that if there are 'm' ways to do one thing and 'n' ways to do another, then there are m × n ways to do both.

Front

How many three-digit numbers can be formed using the digits 0-9 without repetition?

Back

720

Front

If a car model has 4 trim levels, 5 colors, and 3 interiors, how many different versions can be created?

Back

60

Front

What is the formula to calculate the number of ways to elect a President, Vice President, and Secretary from 12 members?

Back

12 × 11 × 10 = 1320

Front

How many license plates can be formed with 3 letters followed by 3 numbers without repetition?

Back

26 x 25 x 24 x 10 x 9 x 8 = 11232000

Front

If James has 3 shirts, 3 jackets, and 2 pairs of pants, how many different outfits can he create?

Back

18

Front

What is the formula for combinations?

Back

C(n, r) = n! / (r!(n - r)!) where n is the total items, r is the items to choose.

Front

What is the formula for permutations?

Back

P(n, r) = n! / (n - r)! where n is the total items, r is the items to arrange.

Front

Define 'factorial'.

Back

The factorial of a non-negative integer n, denoted as n!, is the product of all positive integers less than or equal to n.

Front

What is the total number of outcomes when flipping a coin 3 times?

Back

2^3 = 8 outcomes.