4
lesson pretestMultiple Choice

Pretest

Question 4 • Mathematics II

Ariana, Boris, Cecile, and Diego are students in the service club. Three of the four students will be chosen to attend a conference. Which choice represents the sample space, cap s , for this event?

Answer
A
cap s is equal to ABC comma BCA comma CDA comma DAC
B
cap s is equal to ABC comma ABD comma ACD comma BCD
C
cap s is equal to ABC comma ABD comma BAC comma BDA comma ACD comma ADC comma BCD comma BDC
D
cap s is equal to ABC comma ABD comma ACD comma BCA comma BCD comma BDC comma CAB comma CBD comma DAC comma DBC

Explanation

A sample point is a group of three students chosen from the four, and the order of selection does not matter. The possible groups are ABC, ABD, ACD, and BCD, where A, B, C, and D represent Ariana, Boris, Cecile, and Diego. Choice B lists exactly these four groups; choices with repeated arrangements count the same group more than once or leave out a possible group.

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