#1**0 **

*The Smith family has 4 sons and 3 daughters. In how many ways can they be seated in a row of 7 chairs such that all 3 girls sit next to each other?*

Number the chairs 1, 2, 3, 4, 5, 6, and 7

The girls will be seated together if they're in chairs 1, 2, 3

2, 3, 4

3, 4, 5

4, 5, 6

or 5, 6, 7

unless you arrange the chairs in a circle

and then you can add to the above 6, 7, 1

7, 1, 2

.

Guest Oct 29, 2019