Write the number of permutations in factorial form. Then simplify.
How many different ways can you and five friends sit in your assigned seats when you go to a concert?
A. 6!; 120
B. 6!; 720
C. 5!; 120
D. 5!; 30.
B. 6!; 720
To find the number of permutations in factorial form, we use the formula n!, where n is the number of objects being arranged in a specific order. In this case, there are 6 people, including yourself, so the number of permutations is 6!.
To simplify 6!, we can calculate it step by step:
6! = 6 × 5 × 4 × 3 × 2 × 1
= 720
Therefore, the correct answer is option B: 6!; 720.