1. Gwen Has 3 Different Blouses, 2 Pairs Of Skirts And 4 Different Pairs Sandal…
1. Gwen has 3 different blouses, 2 pairs of skirts and 4 different pairs
sandals as shown in the table below.
a. What are the different outfits that Gwen can wear? Make a list of these outfits.
b. How many different outfits that Gwen can wear?
c. Is there a shorter way of determining the total number of outfits that Gwen can
wear? Show if there is any.
d. Suppose Gwen has enough money to buy one more item. What item should
Gwen buy to maximize the number of outfits that she can wear?
1. Gwen has 3 different blouses, 2 pairs of skirts and 4 different pairs sandals as shown in the table below.
a. What are the different outfits that Gwen can wear? Make a list of these outfits.
Stripes | Plain | Black
Stripes | Plain | Brown
Stripes | Plain | Silver
Stripes | Plain | Gray
Ruffles | Plain | Black
Ruffles | Plain | Brown
Ruffles | Plain | Silver
Ruffles | Plain | Gray
Sleeveless| Plain | Black
Sleeveless| | Plain | Brown
Sleeveless| | Plain | Silver
Sleeveless| | Plain | Gray
Stripes | Plain | Black
Stripes | Plain | Brown
Stripes | Plain | Silver
Stripes | Plain | Gray
Ruffles | Plain | Black
Ruffles | Plain | Brown
Ruffles | Plain | Silver
Ruffles | Plain | Gray
Sleeveless| Plain | Black
Sleeveless| | Plain | Brown
Sleeveless| | Plain | Silver
Sleeveless| | Plain | Gray
b. How many different outfits that Gwen can wear?
24 outfits
c. Is there a shorter way of determining the total number of outfits that Gwen can wear? Show if there is any.
There is, you’ll just multiply the number of blouses to the number of skirts to the number of sandal which equals to 3 x 2 x 4 = 24.
d. Suppose Gwen has enough money to buy one more item. What item should Gwen buy to maximize the number of outfits that she can wear?
Gwen should buy 1 more blouse to maximize her number of outfits that she can wear.