Q63.If ∑25r=0{(50Cr)(50−rC25−r)} = K(50C25) , then K is equal to (1) 225 (2) 225 −1 (3) 224 (4) (25)2 is 720, is
What This Question Tests
This question tests the ability to recognize and apply a specific identity for products of binomial coefficients and then use the formula for the sum of binomial coefficients.
Concepts Tested
Formulas Used
C(n,r) * C(n-r, k-r) = C(n,k) * C(k,r)
Sum (nCr from r=0 to n) = 2^n
📚 NCERT Sections This Tests
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2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
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📋 Question Details
- Chapter
- Binomial Theorem
- Topic
- Summation of binomial coefficients
- Year
- 2019
- Shift
- 10 Jan Shift 2
- Q Number
- Q63
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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