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 6-digit odd numbers can be formed if digits cannot be repeated?

Back

67200

Front

How many unique student IDs can be created with 2 letters followed by 4 digits if letters and digits can be repeated?

Back

6,760,000

Front

What is the total number of outcomes for picking a day of the week and a month of the year?

Back

84

Front

How many 10-digit telephone numbers can be formed if the first and fourth digits cannot be 0 or 1?

Back

6,400,000,000

Front

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

Back

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

Front

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

Back

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

Front

If a die is rolled, how many possible outcomes are there?

Back

6 outcomes (1, 2, 3, 4, 5, 6).

Front

How many ways can you arrange the letters in the word 'MATH'?

Back

24 ways (4! = 24).

Front

What is the total number of ways to choose 3 medals (gold, silver, bronze) from 45 runners?

Back

85,140 ways.