Question

There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same state. How many ways can the 3-Senator committee be formed such that no two Senators are from the same state?

Answer 1

Answer:

156800 Ways

Step-by-step explanation:

Since 3 states can be represented in 19600 ways, -->

now we have 2 ways different from the 1st of the 3 states -->

We can also select in 2 independent ways from the second of the 3 states -->

and 2 ways from the third of the 3 stats

This gives us 2 x 2 x 2 x 19600 or => 8 x 19600 giving us 156800 ways

Thus, we have our answer of 156800 ways

Hope this helps!

Answer 2

156800 ways the 3 senator committee be formed