Question Detail

STA 112 PERMUTATIONS AND COMBINATIONS Objective Question
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Question

If mC₁ = nC2, then which of the following relations is 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

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

Hint

Recall the formulas for nC1 and nC2.

Question Info

Course: STA 112
Topic: PERMUTATIONS AND COMBINATIONS
Type: Objective
Difficulty: Not specified
Question 94 of 112
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