Answer: Permutation is involved , since order of prizes matters.
The number of different ways the prizes can be awarded =95060
Step-by-step explanation:
Given : Total number of people purchase lottery tickets =100
The number of prizes = 3
Since each prize can be claimed by only one person.
So order matters here, there for we use permutations .
The number of permutations of n objects taken m at a time is given by :-
[tex]^nP_m=\dfrac{n!}{(n-m)!}[/tex]
Then, the number of different ways the prizes can be awarded :-
[tex]^{100}P_{3}=\dfrac{100!}{(100-3)!}=\dfrac{100!}{97!}\\\\=100\times98\times97=950600[/tex]
