Question 15 of 18 (1 point) View problem in a pop-up Ice cream: A certain ice cr

Question

Question 15 of 18 (1 point) View problem in a pop-up Ice cream: A certain ice cream parlor offers seven flavors of ice cream. You want cone with three scoops of ice cream, all different flavors. Part 1 In how many ways can you choose a cone ifit matters which flavor is on top, which is in the middle and which is on the bottom? The number of ways to choose a cone, if order matters, is 210 Part 2 out of 2 In how many ways can you choose a cone if the order of the flavors doesn't matter? The number of ways to choose a cone, if order doesn't matter, is

Explanation / Answer

There are 7 flavors out of which we need to choose 3.

Part 1 : Since order matters, we can select in 7P3 ways.

7P3 = 7 * 6 * 5 = 210.

Part 2 : Since order does not matter, we can select in 7C3 ways.

7C3 = (7 * 6 * 5) / (3 * 2 * 1) = 210 / 6 = 35.

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