How many different samples of size 10 people

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Please help me solve the following 3 part stat problem below

In a group of 25 people, how many different samples of size 10 people are possible to be selected. (Samples with the same 10 people, but selected in different orders are considered the same).

A toll booth has 12 cars waiting to go through. In how many different ways can the first five cars go through, if the order in which the pass distinguishes one set of five from another?

Suppose that a state requires its license plates to have three letters followed by three digits 0 through The letters and digits can be repeated, but the first digit can not be a zero. How many different license plates are possible?

Reference no: EM132318271

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