# 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 21students?

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 manyfour-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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