PERMUTATION.pptx

8/10/2019 PERMUTATION.pptx

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PERMUTATION

and

COMBINATION


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Suppose that an electronics store offers a three-component

stereo system for $250. A buyer must choose one amplifier,

one tuner, and one pair of speakers. If the store has two

models of amplifiers, three models of tuners, and two speaker

models, how many different stereo systems could a consumer

purchase?


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In some states, a standard car license plate consists of a

nonzero digit, followed by three letters, followed by three

more digits. What is the maximum number of car license plates

of this type that could be issued?

An automobile dealer offers three midsize cars. A customer

selecting one of these cars must choose one of three different

engines, one of five different colors, and one of four differentinterior packages. How many different selections can the

customer make?


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Consider a race with 10 runners. In how many differentorders can the runners finish first, second, and third

(assuming no ties)?


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In how many ways can a president, a vice president, a secretary,

and a treasurer be selected from a committee of 15 people?


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Six people attend a movie and sit in the same row containing

six seats.a. Find the number of ways the group can sit together.

b. Find the number of ways the group can sit together if two

particular people in the group must sit side by side.

c. Find the number of ways the group can sit together if twoparticular people in the group refuse to sit side by side.

In how many orders can 7 different pictures be hung in a

row so that 1 specified picture is (a) at the center, (b) at

either end?


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How many numbers may be formed by using 4 out of the 5

digits 1,2,3,4,5

(a) if the digits must not be repeated in any number,

(b) if they may be repeated?

If the digits must not be repeated, how many of the 4-digit

numbers(c) begin with 2,

(d) end with 25?

(a) In how many ways can 5 persons be seated at a roundtable?

(b) In how many ways can 8 persons be seated at a round

table if 2 particular persons must

always sit together?


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A standard deck of playing cards consists of 52 cards. How

many five-card hands can be chosen from this deck?

An engr has nine cement samples, of which four are typeA and

five are type B. If the engr chooses three of the sample at

random, determine the number of ways in which he can choose

exactly one typeA sample.


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PERMUTATION.pptx

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