# Choices and Distinct Permutations: Example Questions

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a) Homes come in 3 designs and 5 heating systems, as well as the choice of a garage or carport. How many choices does that give?

Is this simply the multiplication rule?

b) How many distinct permutations can be made from the letters of the word 'Mississippi'?

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#### Solution Preview

For Part a) use multiplication rule

Number of choices = 3 x 5 x 2 = 30 choices

For Part b) MISSISSIPPI has 11 letters ...

#### Solution Summary

Provides steps necessary to calculate the number of choices given and how many distinct permutations can be made.

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