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Shawn is hosting a game night. There are $2$ card games and $7$ board games to choose from. If Shawn and his friends want to play one of each type of game, in how many different ways can they choose the games? $\newline$ _____ game nights

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Counting principle

Full solution

Q. Shawn is hosting a game night. There are

2

card games and

7

board games to choose from. If Shawn and his friends want to play one of each type of game, in how many different ways can they choose the games?

\newline

_____ game nights

Identify Choices: Identify the number of choices for each type of game. Shawn has $2$ card games and $7$ board games to choose from. This means there are $2$ choices for the card game and $7$ choices for the board game.
Apply Counting Principle: Apply the Basic Counting Principle. To find the total number of different ways Shawn and his friends can choose the games, we multiply the number of choices for card games by the number of choices for board games. $\newline$ Calculation: $2$ (card games) $\times$ $7$ (board games) $= 14$ different ways.
Verify Calculation: Verify the calculation to ensure there is no math error. Multiplying $2$ by $7$ should indeed give us $14$ , so the calculation is correct.

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