Q83.Let m, n ∈N and gcd(2, n) = 1 . If 30(300 ) 30 30 30 29( 1 ) +2(28 ) 1(29 ) n equal to _______. (Here = nCk) (k )
What This Question Tests
This question tests the ability to recognize and apply Vandermonde's Identity for the sum of products of binomial coefficients, requiring careful interpretation of the given terms.
Concepts Tested
Formulas Used
nCk = n! / (k! * (n-k)!)
∑(k=0 to r) (mCk * nC(r-k)) = (m+n)Cr
📚 NCERT Sections This Tests
8.17 — Complete Each Synthesis By Giving Missing Starting Material, Reagent Or Products
Chemistry Class 12 · Chapter 8
8.17 Complete each synthesis by giving missing starting material, reagent or products
2.9 — The Resistance Of A Conductivity Cell Containing 0.001M Kcl Solution At 298
Chemistry Class 11 · Chapter 2
2.9 The resistance of a conductivity cell containing 0.001M KCl solution at 298 K is 1500 W. What is the cell constant if conductivity of 0.001M KCl solution at 298 K is 0.146 × 10–3 S cm–1. 59 Electrochemistry Reprint 2025-26
5.28 — How Many Ions Are Produced From The Complex Co(Nh3)6Cl2 In Solution?
Chemistry Class 11 · Chapter 5
5.28 How many ions are produced from the complex Co(NH3)6Cl2 in solution? (i) 6 (ii) 4 (iii) 3 (iv) 2 139 Coordination Compounds Reprint 2025-26
📋 Question Details
- Chapter
- Binomial Theorem
- Topic
- Properties of Binomial Coefficients
- Year
- 2021
- Shift
- 26 Feb Shift 1
- Q Number
- Q83
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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