2011 AMC 8 Problem 8

Attempt Problem 8 of the 2011 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2011 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

Bag A contains three chips labeled $1,$ $3,$ and $5.$ Bag B contains three chips labeled $2,$ $4,$ and $6.$ If one chip is drawn from each bag, how many different values are possible for the sum of the two numbers on the chips?

$4$

$5$

$6$

$7$

$9$

Answer: B

Concepts:basic counting systematic listing

Difficulty rating: 900

Solution:

The table shows all nine outcomes. The distinct sums are $3,5,7,9,$ and $11$ , so there are $5$ possible values.

Thus, B is the correct answer.

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