Faith and Shawna are shopping for shirts. The available styles are short sleeve (s), tank top (t), and long sleeve (L). they make a list to show all possible outcomes if each girl buys a new shirt. is the list complete? Explain. (s, t), (s, s), (s, L), (T, T), (T, S), (T, L), (L, L), (L, T), (L, S)

The number of ways of selection of 3 items taking 2 at a time in addition to the possible ways in which each girl selects the same style is 9 different ways. Since the list contains 9 different ways in which each of them can select a style, the list is complete.

Step-by-step explanation:

Here we have the number of ways the available styles can be arranged between each girl is given by the number of permutation of 3 items, taking two at a time plus the number of possible selections where both of them select the same style as follows

We note that the formula for permutation is

P =

Therefore ₃P₂ = = 6 different ways

The number of possible selections where both of them select the same style is given by

(T, T), (s, s), (L, L) = 3 different ways

Total number of ways = 6 + 3 = 9 ways

Number of different ways available in the list = 9 ways

Therefore the list is complete

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