Q65.The value of 21๐ถ1-10๐ถ1 + 21๐ถ2-10๐ถ2 + 21๐ถ3-10๐ถ3 + 21๐ถ4-10๐ถ4 + โฆ + 21๐ถ10-10๐ถ10 is (1) 221 - 211 (2) 221 - 210 (3) 220 - 29 (4) 220 - 210
What This Question Tests
This question tests the ability to use properties of binomial coefficients, specifically nCr = nC(n-r), to simplify and calculate sums of binomial series.
Concepts Tested
Formulas Used
โ(nCr) from r=0 to n = 2^n
nCr = nC(n-r)
๐ NCERT Sections This Tests
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๐ Question Details
- Chapter
- Binomial Theorem
- Topic
- Sum of binomial coefficients
- Year
- 2017
- Shift
- 02 Apr
- Q Number
- Q65
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
More from this Chapter
Q89.In the binomial expansion of (a โb)n, n โฅ5 , the sum of 5th and 6th terms is zero, then ab equals (1) 5 (2) 6 nโ4 nโ5 (3) nโ5 (4) nโ4 6 5
Q90.The sum of the series 20C0 โ20C1 + 20C2 โ20C3 + โฆ โโฆ + 20C10 is (1) โ20C10 (2) 12 20C10 (3) 0 (4) 20C10
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