Concept-wise Practice

counting-combinations MCQ Questions for Class 11

counting-combinations se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

1 questions tagged with counting-combinations.

यदि \(A=\{1,2,3,4\}\) और \(B=\{1,2,3,4\}\), तो \(A\times B\) के ऐसे उपसमुच्चयों की संख्या कितनी है जिनमें ठीक (2) क्रमित युग्म हों?

If \(A=\{1,2,3,4\}\) and \(B=\{1,2,3,4\}\), how many subsets of \(A\times B\) contain exactly (2) ordered pairs?

Explanation opens after your attempt
Correct Answer

C. (120)

Step 1

Concept

(n\(A\times B\)=16), so the number of ways to choose exactly (2) pairs is \({}^{16}C_2=120\). Use subset selection when counting relations.

Step 2

Why this answer is correct

The correct answer is C. (120). (n\(A\times B\)=16), so the number of ways to choose exactly (2) pairs is \({}^{16}C_2=120\). Use subset selection when counting relations.

Step 3

Exam Tip

(n\(A\times B\)=16), इसलिए ठीक (2) युग्म चुनने के तरीके \({}^{16}C_2=120\) हैं। संबंध गिनते समय उपसमुच्चय चयन का विचार लगाएं।

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