Mrs. Stewart has 8 pair of sandals, 6 pairs of pants and 12 t-shirts. While getting ready to go out for ice-cream, she exclaims, "I have nothing to wear!" Mr. Stewart respond by telling her exactly how many different outfits she could wear if each outfit considered of a pair of sandals, a pair of pants and a t-shirt. How many different outfits consisting of a pair of sandals, a pair of pants and a t-shirt could Mrs. Stewart wear to get ice-cream?
Please help me. I know this is probablity and I am so bad in it. Please help me figure it out. Thanks for your help!!!
First do a simple problem so you can do it with a tree
say 2 s (for sandals), 2 p (for pants), 2 t (for ts)
at the top, two s
.......s...........s
.....p...p.......p...p
....t.t.t.t.....t.t.t.t
2*2*2 = 8
now
8*6*12 = ?
well thanks! is the answer 576???
.......s...........s
.....p.....p.........p...p
....t.t...t.t..........t.t..t.t
Looks like 576 to me
thanks!!! :-)
To determine the number of different outfits Mrs. Stewart could wear, we need to multiply the number of options for each category: sandals, pants, and t-shirts.
First, let's consider the sandals. Since Mrs. Stewart has 8 pairs of sandals, she has 8 options to choose from.
Next, let's consider the pants. Mrs. Stewart has 6 pairs of pants, so she has 6 options to choose from.
Finally, let's consider the t-shirts. Mrs. Stewart has 12 t-shirts, so she has 12 options to choose from.
To calculate the total number of outfits, we multiply the number of options for each category:
Total number of outfits = Number of options for sandals × Number of options for pants × Number of options for t-shirts
Total number of outfits = 8 × 6 × 12
Now, let's calculate:
Total number of outfits = 576
Therefore, Mrs. Stewart could wear 576 different outfits consisting of a pair of sandals, a pair of pants, and a t-shirt to go out for ice-cream.