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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
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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:

  1. Start with the number of people, which is 5.
  2. Multiply 5 by the next lowest number, which is 4. So, 5*4 = 20.
  3. Then multiply that result by the next lowest number, which is 3. So, 20*3 = 60.
  4. Continue this process with the next lowest number, which is 2. So, 60*2 = 120.
  5. 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.

This problem has been solved

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