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3 years ago

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I have 7 different geography textbooks and 4 different chemistry textbooks. In how many ways can I line the 11 textbooks on a bo

okshelf if a chemistry textbook must be in the middle and there must be a geography textbook at each end?

1 answer:

saveliy_v [14]3 years ago

7 0

Answer:

120960

Step-by-step explanation:

We get 11 books 7 of geography and 4 of chemistry

We need to line all of them with 2 constraints

1.-three of the geography must be: 1 in the middle and in each end, then we already have

C₄,₃ = 4! / ( 4 - 3 ) ! C₄,₃ = 4*3*2*1

C₄,₃ = 24 different ways

Now we have 7 books of chemistry. To place them we get

P₇ = 7! P₇ = 7*6*5*4*3*2*1 P₇ = 5040

Now the total number will be

C₄,₃* P₇ = 120960

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