Answer:
A) 19,600
Step-by-step explanation:
A) How many ways can we choose three states to be represented?
To solve for the above question, we would be using the Combination formula
The combination formula is given as:
C(n , r) = nCr = n!/r! (n - r)!
Where n = 50
We are told that we are to make a 3-Senator committee in which no two members are from the same state. So,
r = 3 ( senator committee)
nCr = n!/r! (n - r)!
50C3 = 50! / 3! (50 - 3)!
50C3 = 50! / 3! × 47!
50C3 = 19,600
Therefore, the number of ways can we choose three states to be represented is 19,600 ways.
