In how many ways can 4 people
line up to buy tickets? _____
permutations
4! = 4*3*2*1 = 24
To find the number of ways 4 people can line up to buy tickets, we can use the concept of permutations.
In permutations, the order of arrangement matters. In this case, the order in which the 4 people line up matters, as each different order would represent a unique arrangement.
To calculate the number of permutations, we can use the formula for permutations of n objects taken r at a time, which is given by:
P(n, r) = n! / (n - r)!
Here, n represents the total number of people available (4 in this case), and r represents the number of people being selected to line up (also 4 in this case since we want to consider all the people).
Plugging in the values, we get:
P(4, 4) = 4! / (4 - 4)!
= 4! / 0!
= 4! / 1
= 4 x 3 x 2 x 1 / 1
= 24 / 1
= 24
Therefore, there are 24 different ways in which 4 people can line up to buy tickets.