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?
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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 :(
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