Question

Seventy-five (75) customers at Crummy Burger today were entered in a drawing. Three names will be drawn, and each will win a prize. Determine the number of ways that the prizes can be distributed if all 3 prizes are a $10 gift card.

Answer 1

the number of ways in which the prizes are allocated is 67,525

Explanation:

Given that

Number of customers = 75

Number of prizes = 3

And, the value of gift card = $10

Based on the above information,

The number of ways in which the prizes are allocated is shown below:

`=^(75) C_3`

=
`(75!)/((3!*(75-3)!)`

After solving this the number of ways that came is 67,525

hence, the number of ways in which the prizes are allocated is 67,525