Question

Sandy purchased 3 pairs of shorts, 5 shirts, and 2 pairs of sandals. Which of the following expressions represents the number of different outfits consisting of 1 pair of shorts, 1 shirt, and 1 pair of sandals?. C(10, 3). P(10, 3). 3·5·2

Answer 1

Answer:  Third option is correct.

Step-by-step explanation:

Since we have given that

Number of pairs of shorts = 3

Number of pairs of sandals = 2

Number of shirts = 5

We need to find the number of different outfits consisting of 1 pair of shorts, 1 shirt and 1 pair of sandals .

Since they are all independent.

Number of ways is given by

$3\times 5\times 2\\\\=30$

Hence, Third option is correct.

Answer 2

These are combinations, you can't just treat it as numbers and you can't change the order you wear it I mean you can't use shorts for your feet for example.

The best and most correct answer among the choices provided by your question is the first choice which is C(10, 3). The probability would be 3*5*2 which is equal to 30.
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