A person has 14 close friends.
How many ways can she invite 8 of her 14 close friends to a holiday
get-together. Explain.
C(14,8) = 14! = 14*13*12*11*10*9*8*7 = 3003
8!6! 8*7*6*5*4*3*2*1
Suppose that out of her 14 friends 8 are women and 6 are men.
(i) How many groups of 8 people can she invite that contain 5
women and 3 men? Explain.
C(8,5) C(8,3) = Is this how you start it out?
How many groups of 8 people can she invite that contain at least 1 man?
Explain.
C(8,1)
How many groups of 8 people can be formed that contain at most 5 women?
Explain.
C(8,5)
Mathematics Homework Solutions
#46708
word problem
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(See attached file for full problem description)
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A person has 14 close friends.
(a) How many ways can she invite 8 of her 14 close friends to a holiday get-together. Explain.
(b) Suppose that out of her 14 friends 8 are women and 6 are men.
(i) How many groups of 8 people can she invite that contain 5 women and 3 men? Explain.
(ii) How many groups of 8 people can she invite that contain at least 1 man? Explain.
(iii) How many groups of 8 people can be formed that contain at most 5 women? Explain.
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(See attached file for full problem description)
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