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Mathematics 15 Online
OpenStudy (anonymous):

A passenger train consists of 2 different locomotives, 6 different passenger cars and 2 different sleeper cars. In how many ways can the cars be arranged if the locomotives must be together and must be at the beginning of the train?

OpenStudy (anonymous):

the answer key reads 80640... but i dont know how to get there

ganeshie8 (ganeshie8):

2 x 8!

ganeshie8 (ganeshie8):

2 locomotives can be arranged at the start of train in ----> 2! ways 8 other cars can be arranged in ----------------------> 8! ways

ganeshie8 (ganeshie8):

both combined its 2! x 8!

OpenStudy (anonymous):

ya ikr thats exactly ehat i thought but the answer key says its 80640 :(

ganeshie8 (ganeshie8):

2! x 8! = 80640 hehehe

OpenStudy (anonymous):

lol.. please help me figure it out

ganeshie8 (ganeshie8):

ok.. what u want to figure out... how to compute factorial ?

OpenStudy (anonymous):

ooooooHHHHHHH lol thanks soo much!! lol i though u meant 8 x 2 = 16

ganeshie8 (ganeshie8):

lol sure u understood ?

OpenStudy (anonymous):

yes thank u!!!!! XD

ganeshie8 (ganeshie8):

glad to hear that .... welcome :)))

OpenStudy (anonymous):

but how did u know

ganeshie8 (ganeshie8):

u want to know how i arrived at 2! x 8!

OpenStudy (anonymous):

yes

ganeshie8 (ganeshie8):

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