# Lottery

There is a lottery in which 2000 individuals enter, and of these a set of 120 names will be randomly selected. Assume that both you and your friend are entered in the lottery.

a. In how many ways can 120 names be randomly selected from the 2000 in the drawing?

b. In how many ways can the drawing be done in such a way that both you and your friend are selected?

c. What is the probability that both you and your friend will be chosen?

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#### Solution Preview

a.) The number of ways of drawing 120 out of 2000 = N = nCr = 2000C120

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b.)

If you and your friends both are ...

#### Solution Summary

There is a lottery in which 2000 individuals enter, and of these a set of 120 names will be randomly selected. Assume that both you and your friend are entered in the lottery.

a. In how many ways can 120 names be randomly selected from the 2000 in the drawing?

b. In how many ways can the drawing be done in such a way that both you and your friend are selected?

c. What is the probability that both you and your friend will be chosen?