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20 different prizes are distributed to a group of 180 people. Since the prizes are different, it matters who gets which prize. How many ways are there to distribute the prizes if each person can receive at most one prize

Respuesta :

facundo3141592

We will see that the total number of ways in which we can distribute 20 different prizes among 180 people is:

C =  6.818e46

In how many ways the prizes can be distributed?

Here we need to count how many selections do we have. Each prize will be a selection, so we have 20 selections.

Now we need to count the numbers of 6for each selection.

For the first prize, there are 180 options.

For the second prize, there are 179 options (because one person already got a prize).

For the third prize, there are 178 options.

And so on.

The total number of combinations is given by the product between the numbers of options:

C = 180*179*178*...*161*160 = 6.818e46

If you want to learn more about combinations, you can read:

https://brainly.com/question/11732255

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