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Amanda goes to the toy store to buy 1 ba...

Amanda goes to the toy store to buy 1 ball - either a football, basketball , or soccer ball - and 3 different board games. If the toy store is stocked with all types of balls but only 6 different types of board games, how many different selections of 4 items can Amanda make condisting of 1 type of ball and 3 different board games ?

A

18

B

20

C

54

D

60

Text Solution

Verified by Experts

The correct Answer is:
D
Amanda has 3 choices for the ball. As for the board games, she wants to choose 3 out of 6, so the number of board game combinations is
`._(6)C_(3)=(6!)/((6-3)!3!)=(6.5.4.3.2.1)/(3.2.1.3.2.1)=20`
For each of 20 board game combinationws there are three ball choices, so the total number of options Amanda faces is `3xx20=60`.
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