Six friends go to a movie theater. In how many different ways can they sit together in a row of 6 empty seats?There are ways can they sit together in a row of 6 empty seats.
Question
Six friends go to a movie theater. In how many different ways can they sit together in a row of 6 empty seats?There are ways can they sit together in a row of 6 empty seats.
Solution
The number of ways the six friends can sit together in a row of 6 empty seats is determined by the number of permutations of 6 distinct items, which is 6 factorial (6!).
Here are the steps to calculate it:
- Start with the number of friends, which is 6.
- Multiply 6 by each of the integers less than it down to 1.
So, 6! = 6 * 5 * 4 * 3 * 2 * 1 = 720.
Therefore, there are 720 different ways the six friends can sit together in a row of 6 empty seats.
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