Question 171628: A computer lab contains the following computers, a Hewlett Packard, a Compaq, a Sony, a Dell and 3 differnnt models of Macs........ How many differnt ways can the 7 computers be arranged so that the Macs are all together (you may assume the computers are all in one line)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A computer lab contains the following computers, a Hewlett Packard, a Compaq, a Sony, a Dell and 3 differnnt models of Macs........ How many differnt ways can the 7 computers be arranged so that the Macs are all together (you may assume the computers are all in one line)
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Treating the 3 Macs as one you get 5! arrangements
But the 3 Macs can be arranged in 3! ways.
So total arrangements is 5!*3! = 120 * 6 = 720 arrangements.
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Cheers,
San H.
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