SOLUTION: 5 boys & 3 girl seated in a row. in how many ways they can be arranged that all girls seated side by side.

Question 870011: 5 boys & 3 girl seated in a row. in how many ways they can be arranged that all girls seated side by side.

Answer by ben720(159) (Show Source): You can put this solution on YOUR website!
Because all the girls will always be next to each other, and no boy can be in between, they can count as just one person like so:
Let ★ = the group of girls
Let ☆ = boy.
The only possible combinations, as it doesn't matter which boy is which, are
☆ ☆ ☆ ☆ ☆ ★
☆ ☆ ☆ ☆ ★ ☆
☆ ☆ ☆ ★ ☆ ☆
☆ ☆ ★ ☆ ☆ ☆
☆ ★ ☆ ☆ ☆ ☆
★ ☆ ☆ ☆ ☆ ☆
There are 6 combinations.
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