There are 100 members of the u. s. senate with 2 members from each state. in how many ways can a committee of 5 senators be formed if no state may be represented more than once?

There are 2118760 ways to select a committee of 5 senators be formed if no state may be represented more than once

Solution:

Given that, There are 100 members of the U.S. Senate with 2 members from each state.  

Which means there are senates from 100/2 = 50 states.

We have to find in how many ways can a committee of 5 senators be formed if no state may be represented more than once?

As no state can be represented more than once, we just have to take 1 from each state for selections.

So, now we will have 50 senators out of who we have to pick 5 senators.

As we just have to select the senators. We can use combinations here.

In combinations, to pick r items from n items, there will be ways

Then, here we have to pick 5 out of 50:

Hence, there are 2118760 ways to select.

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step-by-step explanation:

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