McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
1. Representing Sample Spaces
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Exercise 18 Page 887

210

Practice makes perfect
There are 5 blouses, 4 pants, 3 skirts, and 6 pairs of black shoes. Evita has to choose one blouse, one pair of black pants or a skirt, and a pair of black shoes. ccccc Nr. of & Nr. of & Nr. of & Nr. of Blouse & Pants & Skirt & Shoes Options & Options & Options & Options 5 & 4 & 3 & 6 Now, we can calculate the total number of options for the bottom part of the outfit.

ccccc Number of& &Number of& pants &+ & skirts [0.5em] 4& + & 3 [0.5em] & 7& There are 7 options for the bottom part of the outfit. To find out how many options there are, we can now use the Fundamental Counting Principle. ccccc Number of & & Number of & &Number of Blouse & &Bottom & & Shoes Options & & Options & &Options [0.5em] 5 & * & 7 & * & 6 Therefore, the number of possible work outfits with a white blouse, black pants or a skirt, and black shoes chosen is the product of these three values. 5 * 7 * 6 = 210