Question

How many different pairings (2 teams playing each other) are possible for the first round of the 64 teams in the NCAA Basketball Tournament?
(without seeding)
Select the best answer from the choices provided.
A. 2016
B. 32
C. 4096
D. 128​

Answer 1

Answer:

A

Step-by-step explanation:

To calculate this, we shall be selecting 2 each from a total of 64

This is a combination question and our required answer is 64C2

Mathematically, if we are to select r from n items , the combination can be computed as follows;

nCr = n!/(n-r)!r!

Thus, we have 64C2 as ; 64!(64-2)!2! = 64!/62!2!

= (64 * 63 * 62!)/62!2! = (64 * 63)/2 = 32 * 63 = 2,016 pairings