Question 360140

As there are 50 states and 2 senators from each states, total 100.

according to question, from each state at most 1 senator can be selected.


so, firstly we choose 5 states from which we have to select senators.


no. of ways to choose 5 states from total 50 states = 50C5 


now, from each state we can choose senator in 2 ways. 


total no. of ways to choose 5 senator from given 5 particular states = 2^5 = 32


so, total no. of ways to select 5 senators = 50C5 * 32 

= 2118760 * 32 

= 67800320



ANSWER IS:  67800320.


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