Answer :
Using the fundamental counting principle, it is found that there are 24 different combinations she can wear.
The sweaters and the pants are independent, and this is why the fundamental counting principle is used.
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
- 6 sweaters
- 4 pairs of pants.
Thus:
T = 6 * 4 = 24
There are 24 different combinations.
A combination in mathematics is a selection of items from a fixed that have amazing members, making the order of selection irrelevant (not like permutations). For instance, given a set of three fruits—say let's an apple, an orange, and a pear—one can choose between three combinations: an apple and a pear, an apple.
A hard and fast S's ok aggregate is, more precisely, a subset of S's ok amazing components. As a result, two combinations are equal if and best if each contains the same players. (The ties between the people in each group are not considered.)
(n/k) ={ n(n - 1) . . . (n – k + 1)}/{k(k - 1) . . . 1}
n!/{k!(n - k)!}
k > n.
To learn more about combinations visit here:
brainly.com/question/19692242
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