Question Detail

STA 112 PERMUTATIONS AND COMBINATIONS Objective Question
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Question

There are 10 points on a circle. By joining them how many chords can be drawn?
Options
A 90
B 45
Correct Answer
C 100
D 120
Correct Answer

Option B is the correct answer.

Detailed Explanation

A chord is a line segment connecting any two distinct points on a circle.To draw a chord, we need to select 2 points from the given 10 points.The order in which the points are selected does not matter (e.g., selecting point P then point Q results in the same chord as selecting point Q then point P).Therefore, this is a combination problem.Number of chords = 10C2.10C2 = (10 × 9) / (2 × 1) = 5 × 9 = 45.

Hint

A chord is defined by two points. Does the order of choosing the points matter for forming the chord?

Question Info

Course: STA 112
Topic: PERMUTATIONS AND COMBINATIONS
Type: Objective
Difficulty: Not specified
Question 88 of 112
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