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Mathematics 20 Online
OpenStudy (anonymous):

A student has 3 comic books and 4 story books. a. How many ways can he arrange the 3 comic books on his book shelf? b. How many ways can he arrange the 4 story books on his book shelf? c. If he is to arrange the 7 books on the same shelf but he has to ensure that all the comic books and the story books are to be grouped together, how many ways can he arrange the books?

OpenStudy (anonymous):

a. 3! b. 4!

OpenStudy (anonymous):

c. 2! x 3! x 4!

OpenStudy (anonymous):

a. 6 ways b. 24 ways c. 60 ways

OpenStudy (anonymous):

^ c is wrong, way off

OpenStudy (anonymous):

im struggling to even see where you could have got the number 60 from

OpenStudy (anonymous):

hmm, yeah right you're good i did (4! + 3!)2

OpenStudy (anonymous):

group the comic books together --- group the story books together ----

OpenStudy (anonymous):

now you have two groups that can be arranged 2! ways in a line ( either comic books first, or story books first ) Then , the comic books can be arranged 3! among themselves , and the story books can be arranged 4! ways among themselves. multiply them all to get the answer.

OpenStudy (anonymous):

yeah you're right

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