Respuesta :
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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