SOLUTION: The legislature of Puerto Rico consists of a 27-member Senate and a 51-member House of Representatives.
How many ways are there to choose a group of six members from the Puerto
Algebra.Com
Question 984391: The legislature of Puerto Rico consists of a 27-member Senate and a 51-member House of Representatives.
How many ways are there to choose a group of six members from the Puerto Rican legislature?
Answer by mathmate(429) (Show Source): You can put this solution on YOUR website!
Given:
There are 27+51=78 members of the legislature.
Find the number of ways to choose a 6-member group from the legislature.
Solution:
There are 78 choices to choose the first member,
77 choices to choose the second, ...
...
73 choices to choose the sixth member
So there is a total of
78*77*76*75*74*73=184933148400 ways to choose.
However, there are 6! ways to arrange among the six members, so the total number of ways to choose 6 members
=184933148400/6!=256851595 ways.
This can also be solved by the combination function,
C(78,6)=78!/((78-6)!6!)
=256851595 ways
RELATED QUESTIONS
The legislature of Puerto Rico consists of a 27-member Senate and a 51-member House of... (answered by Shai)
The United States Congress is made up of 100 members of the Senate and 435 members of the (answered by stanbon)
in a state legislature there were 119 more members in the house of representatives than... (answered by jorel555)
A five-member committee is to be selected from among four representatives of management... (answered by VFBundy)
A subcommittee of 5 representatives is to be selected from 10 men and 12 women members of (answered by ewatrrr)
The senate consists of 2 representatives from each US State for a total of 100 people. A (answered by ewatrrr)
Can you please help me with this?
If one person is chosen randomly from the list of... (answered by checkley75)
(a) A certain committee consists of 17 people. From the committee, a president, a... (answered by ikleyn)
it's cost one $50 to be a member of a music club. a member of the club pays $20 per music (answered by rfer)