In how many different ways can 5 persons stand in a row for a photograph?Options100505120
Question
In how many different ways can 5 persons stand in a row for a photograph?
Options:
- 100
- 505
- 120
Solution
The number of ways in which 5 persons can stand in a row for a photograph is determined by the number of permutations of 5 distinct items, which is given by the formula P(n) = n!.
Here's the step-by-step calculation:
- Start with the number of people, which is 5.
- Calculate the factorial of this number. The factorial of a number is the product of all positive integers less than or equal to that number.
So, 5! = 5 * 4 * 3 * 2 * 1 = 120.
Therefore, 5 people can stand in a row for a photograph in 120 different ways.
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