In how many different ways can 5 persons stand in a row for a photograph?Options512010050
Question
In how many different ways can 5 persons stand in a row for a photograph?
Options
- 5
- 12
- 10
- 50
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 5 factorial (5!).
Here's the step-by-step calculation:
- Start with the number of people, which is 5.
- Multiply 5 by the next lowest number, which is 4. So, 5*4 = 20.
- Then multiply that result by the next lowest number, which is 3. So, 20*3 = 60.
- Continue this process with the next lowest number, which is 2. So, 60*2 = 120.
- Finally, multiply that result by the last number, which is 1. So, 120*1 = 120.
So, there are 120 different ways that 5 people can stand in a row for a photograph.
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