Fundamental Counting Principle

Front

What is the Fundamental Counting Principle?

Back

The Fundamental 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 different orders can 6 runners finish a race?

Back

720 (6! = 6 × 5 × 4 × 3 × 2 × 1 = 720)

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If an ice cream shop offers 4 types of ice cream and 2 types of cones, how many combinations can a customer choose?

Back

8 combinations (4 ice creams × 2 cones = 8)

Front

What is the total number of outcomes when choosing a day of the week and a month of the year?

Back

84 outcomes (7 days × 12 months = 84)

Front

How many ways can you answer a 4-question true/false quiz?

Back

16 ways (2^4 = 16)

Front

If a quiz has 3 multiple choice questions with 4 options each, how many ways can you answer them?

Back

64 ways (4^3 = 64)

Front

What is the total number of outcomes for choosing 3 ice cream flavors and 2 toppings?

Back

6 outcomes (3 flavors × 2 toppings = 6)

Front

How many different ways can you arrange 5 books on a shelf?

Back

120 ways (5! = 5 × 4 × 3 × 2 × 1 = 120)

Front

If you have 3 shirts and 2 pairs of pants, how many outfits can you create?

Back

6 outfits (3 shirts × 2 pants = 6)

Front

What is the formula for calculating permutations of 'n' items taken 'r' at a time?

Back

P(n, r) = n! / (n - r)!.