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# Determine whether the object is a permutation or a combination. an automobile license plate number Choose the correct answer below.

1.Determine whether the object is a permutation or a combination.

A.

This is a combination because repetition is not allowed and the order of the items does not matter.

B.

This is neither a permutation nor a combination because repetition is allowed.

C.

This is a permutation because repetition is not allowed and the order of the items matters.

D.

There is not enough information given to make a decision.

2.A contractor builds homes of 11 different models and presently has 4 lots to build on. In how many different ways can he arrange homes on these​ lots? Assume 4 different models will be built.

3.How many ways can a president and vice dash president be chosen from a committee of 7 ​people?

The number of ways to choose a president and vice dash president is ______?

4.How many ways can a teacher give six different prizes to six of her 21 students?

She can award the prizes in _____ways.

5.In a race in which ten automobiles are entered and there are no​ ties, in how many ways can the first three finishers come​ in?

There are _____ways for the first three finishers to come in.

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