Find the correct answer for each of the following Write its

Find the correct answer for each of the following. Write its corresponding letter in the blank provided. You order a sandwich at a restaurant. You can choose 2 side dishes from a list of 8. How many combinations of side dishes are possible? A. 0.0357 B. 0.0179 C. 0.0060 D. 0.0012 A yearbook editor has selected 14 photos, including one of you and one of your friend, to use in a collage for the yearbook. The photos are placed at random. There is room for 2 photos at the top of the page. What is the probability that your photo and your friend\'s photo are the 2 placed at the top of the page? A. 0.55% B. 14.29% C. 1.10% D. 0.09%

Solution

11) Total possible combinations of side dishes = ⁸C₂ = 8*7/2 = 28

Therefore with the the sandwich = 1/28 = 0.0357 (Option A)

12) Favourable outcome. Only one way where you and your friends photo can come (since only 2 places are there)

Total outcomes = 14C2 = 14*13/2 = 91

Therefore required probability = 1/91 = .01098 = 1.10% (Option C)