5 friends are having their picture taken. How many ways can the photographer arrange them in a row?
There are 5 people that can be placed in the first position, 4 remaining people that can be placed in the second position, 3 remaining people that can be placed in the third position, 2 remaining people that can be placed in the fourth position, and only 1 remaining person left to be placed in the fifth position. Therefore, the number of ways the photographer can arrange the 5 friends in a row is:
5 x 4 x 3 x 2 x 1 = 120 ways.
To calculate the number of ways the photographer can arrange the 5 friends in a row, we can use the concept of permutations. In permutations, the order of the elements matters.
So, we have 5 friends, and the photographer needs to arrange them in a row.
The number of ways to arrange the 5 friends is given by:
5! (5 factorial)
To calculate 5!, multiply all the whole numbers from 1 to 5:
5! = 5 x 4 x 3 x 2 x 1 = 120
Therefore, there are 120 ways the photographer can arrange the 5 friends in a row.
To find the number of ways the photographer can arrange the 5 friends in a row, we can use the concept of permutations.
The number of permutations of a set of objects is given by the factorial of the number of objects. In this case, we have 5 friends, so the number of ways to arrange them will be 5 factorial, denoted as 5!.
The factorial of a number is the product of all positive integers less than or equal to that number. So, 5! = 5 x 4 x 3 x 2 x 1 = 120.
Therefore, there are 120 different ways the 5 friends can be arranged in a row for the photograph.