SOLUTION: 7 awards are received; Jef (M), Ka (F), Lyle (M), Mai (F), Norm (M), Pat (F), and Sam (F). In how many ways can the awards alternate between men and women with a woman going firs

Algebra.Com
Question 1201481: 7 awards are received; Jef (M), Ka (F), Lyle (M), Mai (F), Norm (M), Pat (F), and
Sam (F). In how many ways can the awards alternate between men and women with a
woman going first?
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
7 awards are received; Jef (M), Ka (F), Lyle (M), Mai (F), Norm (M), Pat (F),
and Sam (F). In how many ways can the awards alternate between men and women
with a woman going first?
Let the order be F1 M1 F2 M2 F3 M3 F4

Choose F1 4 ways.
Choose M1 3 ways.
Choose F2 3 ways.
Choose M2 2 ways.
Choose F3 2 way.
Choose M3 1 way.
Choose F4 1 way.

(4)(3)(3)(2)(2)(1)(1) = 144

Edwin
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.

HINT to those unhappy students who are obliged to read this formulation:


        It is not about alternating awards.

        It is about alternating men and women in a line.

        Awards are introduced in this problem with the only goal to confuse you.



RELATED QUESTIONS

can someone help me with this Awards are to be presented to seven people: Jeff, Karen, (answered by KnightOwlTutor)
the profit function of Wannamakker trophies is P(x)=-0.3^2+fx-m,where f represents the... (answered by stanbon)
An order of award presentations has been devised for seven people: Jeff, Karen,... (answered by sudhanshu_kmr)
At an awards ceremony, nine women and seven men are each to receive an award and are to... (answered by MathLover1,greenestamps)
help solving... (answered by Alan3354)
In triangle EFG, m (answered by efg)
An order of award presentations has been devised for seven people: Jeff, Karen,... (answered by stanbon)
the profit function for wannamaker trophies is p(x)--0.03x2+fx-m, where F represents the (answered by keyondradavis)
3) The profit function for Wannamaker Trophies is {{{P(x) = -0.4x^2 + fx - m}}}, where f (answered by Finavon)