1.Determine whether the object is a permutation or a combination.an automobile license plate number

Choose the correct answer below.

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.(Incorrect answer)

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. The answer is ______arrangements.

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.Television and radio stations use four call letters starting with W or​ K, such as WXYZ or KRLD. Assuming no repetitions in the second to fourth​ letters, how many​four-letter sets are possible using either W or K and only the letters J to Y​? ​(Count all possibilities even​ though, practically, some may be​ inappropriate.)

There are ______four-letter sets that can be formed.

6.A baseball team has 8 pitchers, who only​ pitch, and 14 other​ players, all of whom can play any position other than pitcher. For​ Saturday's game, the coach has not yet determined which 9 players to use nor what the batting order will​ be, except that the pitcher will bat last. How many different batting orders may​ occur?

There are ______different batting orders.

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