Asked by lijm
The U.S Olympic gymnastics team for the 2016 Rio Games comprised five women and five men. In how many ways can this group of athletes arrange themselves in a row for a group picture if:
a) There is no restriction
b) The men stand together in a group and the women stand together in a group?
c) The men and women must occupy alternate positions?
a) The 5 women + the 5 men = 10
P(10,10) =10!
b) Women : P(5,5) Men: P(5,5)
p (5,5) * p (5,5) = 120*120=14400
c) p(5,5)*p(5,5)=120*120=14400
a) There is no restriction
b) The men stand together in a group and the women stand together in a group?
c) The men and women must occupy alternate positions?
a) The 5 women + the 5 men = 10
P(10,10) =10!
b) Women : P(5,5) Men: P(5,5)
p (5,5) * p (5,5) = 120*120=14400
c) p(5,5)*p(5,5)=120*120=14400
Answers
Answered by
Reiny
Even though your answer is correct,
I would argue c) as follows:
from left to right
MWMWMW...
= 5*5*4*4*3*3*2*2*1*1
= 5! * 5! = 14400
I would argue c) as follows:
from left to right
MWMWMW...
= 5*5*4*4*3*3*2*2*1*1
= 5! * 5! = 14400
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