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6. Oliver is playing a game in which he has to choose one of two numbers (2 or 7) and then one of five vowels (a, e, i, o, or u). How many possible outcomes are there? 2 7 There are possible outcomes.

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Answer

Number of possible outcomes for everything = 240 ways

Explanation

The number of possible outcomes can be calculated by taking each of these two groups.

First group contains 2 elements

Number of possible ways to pick the elements = 2! = 2 × 1 = 2 ways

Second group contains 5 elements

Number of possible ways to pick the elements = 5! = 5 × 4 × 3 × 2 × 1 = 120 ways

Number of possible outcomes for everything = 2! × 5! = 2 × 120 = 240 ways

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