Nov 6 - Exit (Counting Principle - Graded)

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 x n ways to perform both actions.

Front

How many outcomes are there when flipping 4 different 2-sided coins?

Back

There are 16 outcomes when flipping 4 different 2-sided coins, calculated as 2^4 = 16.

Front

How do you calculate the number of different bicycle license plates with 2 letters followed by 1 digit?

Back

The number of different license plates is calculated as 26 (letters) x 26 (letters) x 10 (digits) = 6760.

Front

What does '4!' represent in mathematics?

Back

'4!' represents the factorial of 4, which is calculated as 4 x 3 x 2 x 1 = 24.

Front

How many different ways can 8 violinists be seated in a row?

Back

The number of different ways to seat 8 violinists is 8! (8 factorial), which equals 40320.

Front

What is a factorial?

Back

A factorial, denoted by 'n!', is the product of all positive integers from 1 to n.

Front

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

Back

The formula for permutations is P(n, r) = n! / (n - r)!.

Front

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

Back

The formula for combinations is C(n, r) = n! / [r!(n - r)!].

Front

If a coin is flipped 3 times, how many different outcomes are possible?

Back

There are 8 different outcomes when flipping a coin 3 times, calculated as 2^3 = 8.

Front

What is the total number of outcomes when rolling a 6-sided die twice?

Back

The total number of outcomes when rolling a 6-sided die twice is 36, calculated as 6 x 6 = 36.