Q65.The value of ∑15r=1 r2( 15Cr−115Cr ) (1) 1240 (2) 560 (3) 1085 (4) 680 JEE Main 2016 (09 Apr Online) JEE Main Previous Year Paper
What This Question Tests
This question evaluates the student's ability to simplify the ratio of binomial coefficients and then sum a resulting polynomial series using standard summation formulas.
Concepts Tested
Formulas Used
nCr / nC(r-1) = (n-r+1)/r
∑r = n(n+1)/2
∑r^2 = n(n+1)(2n+1)/6
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📋 Question Details
- Chapter
- Binomial Theorem
- Topic
- Properties of binomial coefficients
- Year
- 2016
- Shift
- 09 Apr Online
- Q Number
- Q65
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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