Question

How many unique segments can be named using the points M, L, D, and R as endpoints?

A) 3
B) 4
C) 5
D) 6

Answer 1

The number of unique segments that can be named using the points M, L, D, and R as endpoints is 6.

Step-by-step explanation:

To determine the number of unique segments that can be named using the points M, L, D, and R as endpoints, we can apply the combination formula. The combination formula calculates the number of ways to choose a subset of objects without regard to their order. In this case, we want to choose 2 points (2 endpoints) out of the 4 given points. The formula for combination is nCr = n! / (r! * (n-r)!), where n is the total number of objects and r is the number of objects to be chosen. Applying the combination formula, we have 4C2 = 4! / (2! * (4-2)!) = 6. Therefore, there are 6 unique segments that can be named using the points M, L, D, and R as endpoints.