<p>Well… It’s not 3.
She could wear a red hat with: blue sweater/white jeans or white jeans/blue sweater.
She could wear a blue hat with red sweater/white jeans or white sweater/red jeans.
She could wear a white hat with red sweater/blue jeans or blue sweater/red jeans.</p>
<p>So I think the answer is 6 unless I am missing something…?</p>
<p>You can’t use the combination formula because you can only wear once of each piece of clothing at one time.</p>
<p>Definitely not 27, as Zupchurch said. Best way to do it is just count it…it really isn’t that complicated cuz there’s only 6 ways of wearing red, white and blue AND 3 different pieces of clothing</p>
<p>This is a “counting principle” example. There are more of these on the SAT by far than anything involving fancy combinations and permutations. </p>
<p>Just ask yourself: how many choices does she have for her first garment? 3 (no matter what she puts on first, she can choose any of the three colors.)</p>
<p>Now, how many choices for her next garment? 2 – she can’t choose the same color she already picked.</p>
<p>Then, how many choices for the last garment? 1 – she must pick the color she hasn’t picked yet.</p>
<p>you have 3 available colors for the hat (r;w;b) , 2 remaining for the sweater and 1 which is the only one left color thus it’s
3x2x1 = 6. The misleading point was that it could be inferred that all the clothes she wears should be of one color (r;r;r), but it’s said “red,blue and white outfit” so it’s not right.</p>