SOLUTION: a person has 12 friend of whom 8 are relative.in how many ways can he invit 7 friends such that at least 5 of them may be relatives?
Algebra.Com
Question 1135364: a person has 12 friend of whom 8 are relative.in how many ways can he invit 7 friends such that at least 5 of them may be relatives?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
(1) 5 relatives and 2 others: (8 choose 5) times (4 choose 2) -- C(8,5)*C(4,2)
or
(2) 6 relatives and 1 other: (8 choose 6) times (4 choose 1) -- C(8,6)*C(4,1)
or
(3) 7 relatives and 0 others: (8 choose 7) times (4 choose 0) -- C(8,7)*C(4,0)
Add the three numbers.
RELATED QUESTIONS
A person has 12 friends of whom 8 are relatives .In how many ways can he invite 7 guests... (answered by psbhowmick)
a person wishes to throw as many different parties as he can out of his 20 friends such... (answered by greenestamps)
The University of Ballygobackwards has three colleges:
- the College of Science, which... (answered by ikleyn)
(a) Find the number of ways that Magnus can give out 12 identical stickers to 12 of his... (answered by ikleyn)
My teacher and I cannot figure this out. Please help us.
A lodge has 50 members of... (answered by scott8148)
A man has 7 friends and he want to invite 3 of them at a party.Find how many parties to... (answered by ewatrrr)
A committee of 5 is to be chosen from 12 members of the Board of Directors, 3 of whom are (answered by Edwin McCravy)
. A committee of 5 is to be chosen from 12 members of the Board of Directors, 3 of whom... (answered by Edwin McCravy)
The Statistics Survey Centre has a list of 14 students whom are available for short-term... (answered by greenestamps)