SOLUTION: John keeps the phone numbers for his seven closest friends(3 men and 4 women) in his phone digital memory. How many ways can he list them if: a. men are listed before women?

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Question 682463: John keeps the phone numbers for his seven closest friends(3 men and 4 women) in his phone digital memory. How many ways can he list them if:
a. men are listed before women?
b. men are all listed next to each other?
c. women are all listed next to each other?
d. men and women alternate?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
John keeps the phone numbers for his seven closest friends(3 men and 4 women) in his phone digital memory. How many ways can he list them if:
a. men are listed before women?:::: 3!*4! = 6*24 = 144 ways
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b. men are all listed next to each other?:::3!*5! = 720
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c. women are all listed next to each other?:::4!*4! = 576
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d. men and women alternate?::::3!*4! = 144 ways
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Cheers,
Stan H.