63.9k views
4 votes
How many ways can 6 people sit on a bench if 3 of them have to sit side by side

1 Answer

4 votes

Answer:

144 ways

Explanation:

Let's think of the 3 persons sitting together as "one". So essentially we have 3 + "1" = "4" persons to arrange.

THey can be arranged in 4! ways, which is:

4! = 4 * 3 * 2 * 1 = 24 ways

Now, the 3 persons themselves can be arranged in 3! ways, which is:

3! = 3 * 2 * 1 = 6 ways

Total ways = 4! * 3! = 24 * 6 = 144 ways

User Evan Donovan
by
8.7k points

No related questions found