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Show all work and steps. 1. Selecting a committee How many ways can a committee a of 4 people be selected from a group of

Show all work and steps.

1.Selecting a committeeHow many ways can a committee a of 4 people be selected from a group of 10 people.

2.ElectionIn how many ways could a club of 10 members elect a president, a vice-president, a treasurer and a secretary?

3.A box contains 10 balls. Three are numbered 2, four are numbered 3, two are numbered 4, one is numbered 5. The balls are mixed, and one is selected at random. After a ball is selected, its number is recorded. Then it is replaced. If the experiment is repeated many times, find the variance and standard deviation.

4.One thousand tickets are sold at $2 each for a LCD TVvalued at $550, What is the expected value of the gain if you purchase one ticket?

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