Answer: 10626
Step-by-step explanation:
Given : The total number of people purchase raffle tickets=23
The total number of prizes = 3
Since , order matters here , so we use Permutations.
The permutation of n things taken r at a time is given by :-
[tex]^nP_r=\dfrac{n!}{(n-r)!}[/tex]
Then, the number of ways the prizes can be distributed :-
[tex]^{23}P_{3}=\dfrac{23!}{(23-3)!}\\\\=\dfrac{23\times22\times21\times20!}{20!}=10626[/tex]
Hence, the prizes can be distributed in 10626 ways.
