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One hundred people purchase lottery tickets. Three winning tickets will be selected at random. If first prize is $100, second prize is $50, and third prize is $25, in how many different ways can the prizes be awarded?.

Respuesta :

MrRoyal

The number of different ways the prizes can be awarded is 161700

How to determine the number of different ways can the prizes be awarded?

From the question, we have the following parameters that can be used in our computation:

  • Total number of people, n = 100
  • Total numbers of winners, r = 3 i.e. the first, the second, the third

The number of different ways the prizes can be awarded is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 100 and r = 3

Substitute the known values in the above equation

Total = ¹⁰⁰C₃

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 100!/97!3!

Evaluate

Total = 161700

Hence, the number of ways is 161700

Read more about combination at

brainly.com/question/11732255

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