SOLUTION: The United States Congress is made up of 100 members of the Senate and 435 members of the House of Representatives. How many 5-member senatorial committees are possible?
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Question 143059: The United States Congress is made up of 100 members of the Senate and 435 members of the House of Representatives. How many 5-member senatorial committees are possible? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The United States Congress is made up of 100 members of the Senate and 435 members of the House of Representatives. How many 5-member senatorial committees are possible?
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You want the "number of combinations of 100 objects taken in groups of five".
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100C5 = 100!/[95!*5!] = [100*99*98*97*96]/[1*2*3*4*5]
= 75287520
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Cheers,
Stan H.