Question 1169916
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1-st senator in the committee can be any one of 100 senators, giving 100 options.


2-nd senator can be any one of 98 senators from other states, giving 98 options.


3-rd senator can be any of 96 senators from remaining 48 states, giving 96 options.


In all,  there exists  100*98*96 = 940800  different ways.    <U>ANSWER</U>
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Solved.


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My note after reading the post by @Math_tutor2020.


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    @Math_tutor2020 correctly pointed that my number must be divided by 3! = 6:


        940800/6 = 156800.


    I agree with it, in full (!)
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