Class 11 vandermonde-identity MCQ Questions

Question 1/1 Expert Mathematics Permutations and Combinations Combinations Class 11 Level 63

योग \(\sum_{r=0}^{4}{}^{7}C_{r},{}^{5}C_{4-r}\) का मान क्या है?

What is the value of \(\sum_{r=0}^{4}{}^{7}C_{r},{}^{5}C_{4-r}\)?

Explanation opens after your attempt

Correct Answer

B. (495)

Step 1

Concept

By Vandermonde's identity, the sum equals \(^{12}C_{4}\). Hence the value is (495).

Step 2

Why this answer is correct

The correct answer is B. (495). By Vandermonde's identity, the sum equals \(^{12}C_{4}\). Hence the value is (495).

Step 3

Exam Tip

वैंडरमोंड पहचान से यह योग \(^{12}C_{4}\) के बराबर है। इसलिए मान (495) है।

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MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Permutations and Combinations
Topic: Combinations
Difficulty: Expert
Level: 63

Question Hindi:
योग (\sum_{r=0}^{4}{}^{7}C_{r},{}^{5}C_{4-r}) का मान क्या है?

Question English:
What is the value of (\sum_{r=0}^{4}{}^{7}C_{r},{}^{5}C_{4-r})?

Options:
A. (330)
B. (495)
C. (715)
D. (792)

Correct Answer:
B. (495)

Explanation Hindi:
वैंडरमोंड पहचान से यह योग (^{12}C_{4}) के बराबर है। इसलिए मान (495) है।

Explanation English:
By Vandermonde's identity, the sum equals (^{12}C_{4}). Hence the value is (495).

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vandermonde-identity MCQ Questions for Class 11

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योग \(\sum_{r=0}^{4}{}^{7}C_{r},{}^{5}C_{4-r}\) का मान क्या है?

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vandermonde-identity MCQ Questions for Class 11

Practice Questions

योग \(\sum_{r=0}^{4}{}^{7}C_{r},{}^{5}C_{4-r}\) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

vandermonde-identity Revision Links

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