4
ALMultiple Choice

Permutations and Combinations

Question 4 • CARE_24_25_TX-Mathematical Models with Applications B

The expression 3C2 represents the number of ways of:

Answer
A
choosing 2 items at a time from a set of 3.
B
choosing 3 items at a time from a set of 2.
C
arranging, in order, 2 items from a set of 3.
D
arranging, in order, 3 items from a set of 2.

Explanation

The notation 3C2 means a combination: choosing 2 items from a set of 3, without regard to order. So it represents “choosing 2 items at a time from a set of 3,” not arranging the items in order.

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