SOLUTION: If your class has 10 males and 15 females init, how many different committees consisting of 4 males and 3 females can be chosen? My answer is:
2.5 committees of males and 5 commit
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2.5 committees of males and 5 commit
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Question 137393This question is from textbook Fundmentals of Alegebraic Modeling
: If your class has 10 males and 15 females init, how many different committees consisting of 4 males and 3 females can be chosen? My answer is:
2.5 committees of males and 5 committees of females This question is from textbook Fundmentals of Alegebraic Modeling
You can put this solution on YOUR website! We are dealing with combinations. We don't care about the order in which the people are chosen.
For the girls n=15, r=3
15C4=n!/((n-r)!*r!)
=15!/((15-3)!*3!
=(15*14*13*12!)/(12!*3*2)
=(15*14*13)/3*2
=5*7*13
=455 combinations of 4 girls.
.
For the boys n=10, r=4
10C4=10!/((10-4)!*4!)
=(10*9*8*7*6!)/(6!*4*3*2)
=(10*9*8*7)/(4*3*2)
=5*3*2*7
=210 combinations of boys
.
455*210
=95,550 different committees can be chosen.
.
Ed
