Question Detail

STA 112 PERMUTATIONS AND COMBINATIONS Objective Question
Take CBT

Question

If mC1 = nC2, then which of the following relations holds true?
Options
A 2m = n
B 2m = n(n + 1)
C 2m = n(n - 1)
Correct Answer
D 2n = m(m - 1)
Correct Answer

Option C is the correct answer.

Detailed Explanation

We know that nC1 = n and nC2 = n(n-1)/2.Given mC1 = nC2.So, m = n(n-1)/2.Multiplying both sides by 2, we get 2m = n(n-1).

Hint

Recall the direct formulas for nC1 and nC2 to simplify the equation.

Question Info

Course: STA 112
Topic: PERMUTATIONS AND COMBINATIONS
Type: Objective
Difficulty: Not specified
Question 105 of 112
Previous Course Details Next