K kov82 New Member 10+ Year Member 15+ Year Member Joined Jul 19, 2006 Messages 208 Reaction score 1 Points 4,531 Non-Student Apr 16, 2009 #1 Advertisement - Members don't see this ad In how many ways can 10 candidates (5 men 5 women) be elected for 3 vacancies of which 1 vacancy is reserved for a female candidate? the answer is 110, can someone explain how using the P or C equations?
Advertisement - Members don't see this ad In how many ways can 10 candidates (5 men 5 women) be elected for 3 vacancies of which 1 vacancy is reserved for a female candidate? the answer is 110, can someone explain how using the P or C equations?
S Streetwolf Ultra Senior Member Verified Member 10+ Year Member Dentist 15+ Year Member Joined Oct 25, 2006 Messages 1,801 Reaction score 7 Points 4,571 Location NJ Dentist Apr 16, 2009 #2 kov82 said: In how many ways can 10 candidates (5 men 5 women) be elected for 3 vacancies of which 1 vacancy is reserved for a female candidate? the answer is 110, can someone explain how using the P or C equations? Click to expand... 2 men, 1 woman 1 man, 2 women 3 women Those are your possibilities. In order of those above, we have: (5 C 2)(5 C 1) = 10*5 = 50 (5 C 1)(5 C 2) = 5*10 = 50 (5 C 3) = 10 Total is 50 + 50 + 10 = 110. Upvote 0 Downvote
kov82 said: In how many ways can 10 candidates (5 men 5 women) be elected for 3 vacancies of which 1 vacancy is reserved for a female candidate? the answer is 110, can someone explain how using the P or C equations? Click to expand... 2 men, 1 woman 1 man, 2 women 3 women Those are your possibilities. In order of those above, we have: (5 C 2)(5 C 1) = 10*5 = 50 (5 C 1)(5 C 2) = 5*10 = 50 (5 C 3) = 10 Total is 50 + 50 + 10 = 110.
K kov82 New Member 10+ Year Member 15+ Year Member Joined Jul 19, 2006 Messages 208 Reaction score 1 Points 4,531 Non-Student Apr 16, 2009 #3 thanks man, CDP math sucks at explaining this stuff Upvote 0 Downvote
