Dayshawn can choose two of his four t-shirts to take on a weekend trip. If the t-shirts are labeled cap A , cap b , cap c , and cap d , which choice represents the sample space, cap s , for the event?
Answer
A
cap s is equal to ABCD comma DCBA
B
cap s is equal to AB comma BA comma AC comma CA comma AD comma DA comma BC comma CB comma BD comma DB comma CD comma DC
C
cap s is equal to AB comma AC comma AD comma BC comma BD comma CD
D
cap s is equal to ABCD
Explanation
Dayshawn selects two different shirts, and the order in which he chooses them does not matter. The possible pairs are AB, AC, AD, BC, BD, and CD. Choice A lists each pair once; choice B incorrectly counts reversed orders such as AB and BA as different outcomes.
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