Question

(48. PERSEVERE Wha

PERSEVERE What is the greatest number of planes determined using any three of

the points A, B, C, and D if no three points are collinear?

Answer 1

Answer: 4

Explanation:

We know that a plane is 2 dimensional surface that extends infinitely far.

The number of points required to define a plane = 3

Here , we have 4 points A, B, C, and D.

So, the number of possible combinations of 3 points to make a plane from 4 points =
`C(4,3)`

`=4` [
`C(n,n-1)=n` ]

Hence, the greatest number of planes determined using any three of the points A, B, C, and D if no three points are collinear = 4.