You and 5 friends go to a concert. In how many different ways can you sit in the assigned seats.
The number of ways you can arrange 6 people in 6 seats is given by the formula for permutations:
6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
Therefore, there are 720 different ways you and your 5 friends can sit in the assigned seats.
To calculate the number of different ways you and your 5 friends can sit in the assigned seats at the concert, we can use the concept of permutations.
Since you and your friends are sitting in assigned seats, the order in which you are sitting matters. For the first seat, any of the 6 people (you or your 5 friends) can occupy it. Once the first seat is occupied, there are 5 remaining people for the second seat, 4 for the third seat, and so on.
Therefore, the number of different ways you can sit in the assigned seats is:
6 x 5 x 4 x 3 x 2 x 1 = 720
So, there are 720 different ways you and your friends can sit in the assigned seats.