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Mathematics 15 Online
OpenStudy (anonymous):

There are 5 boys and 4 girls in my class. All of them are distinguishable. In how many ways can they be seated in a row of 9 chairs such that at least 3 girls are all next to each other?

OpenStudy (anonymous):

well,we can put all the 3 girls in a circle ! |dw:1406527456348:dw|

OpenStudy (anonymous):

or 4 girls

OpenStudy (anonymous):

so here we have 7! .ways to arrange them..

OpenStudy (anonymous):

and for all of them we have 3! ways to set those 3girls in that circle.

OpenStudy (anonymous):

so it would be 7!.3!

OpenStudy (anonymous):

No thats wrong though

OpenStudy (anonymous):

I tried it and got it wrong

OpenStudy (anonymous):

well,i think u made a mistake.

OpenStudy (anonymous):

how did u get the answer ?

OpenStudy (anonymous):

Isn't the answer 7! times 3!

OpenStudy (anonymous):

what did i say ? :|:| i said 7!.3! too :| "dot" is "times"

OpenStudy (anonymous):

i mean 7!.3! = 7! x 3!

OpenStudy (anonymous):

got it?

OpenStudy (anonymous):

THat;s wrong though, that;s what i put before

OpenStudy (anonymous):

u mean 7!.3! is worng? @ganeshie8 can u please check my work?

OpenStudy (anonymous):

yeah

ganeshie8 (ganeshie8):

|dw:1406528959561:dw|

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