# Combinatorics with constraints.

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Six people are going to travel to Mexico City by car. There are six seats available in the car. In how many different ways can the six people be seated in the car if only three of them can drive?

Â© BrainMass Inc. brainmass.com November 24, 2022, 12:00 pm ad1c9bdddfhttps://brainmass.com/math/combinatorics/combinatorics-with-constraints-36287

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We have three distinct combinations each corresponds to a different driver.

Then we are left with ...

#### Solution Summary

The solution shows how to apply the constraints to the general Combinatorics problem of arranging items of a set.

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