# Question #c1283

Nov 24, 2017

$360$

#### Explanation:

There are 4 seats available for 6 people. They can be arranged in any order.

In the first seat, there are 6 possibilities for the people to chose from.

In the second, 5 possibilities (since 1 is already sitting in the first seat) . In the third, 4 possibilities. And finally in the 4th, 3 possibilities.

Taking these all into consideration, just multiply it.

$6 \times 5 \times 4 \times 3 = 360$

Or use the permutation formula:${\text{ " }}_{6} {P}_{4} = 360$