Q83.If 11C1 2 + 3 + โฆ . . + 10 = mn with gcd (n, m) = 1, then n + m is equal to
What This Question Tests
This question tests the ability to interpret a potentially malformed expression and apply knowledge of binomial coefficient sums combined with arithmetic series. The most plausible interpretation involves the sum of binomial coefficients from 1 to 10.
Concepts Tested
Formulas Used
ฮฃ(nCk) from k=0 to n = 2^n
Sum of arithmetic series = n/2 * (a + l)
๐ NCERT Sections This Tests
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Chemistry Class 11 ยท Chapter 5
5.11 Draw all the isomers (geometrical and optical) of: (i) [CoCl2(en)2] + (ii) [Co(NH3)Cl(en)2] 2+ (iii) [Co(NH3)2Cl2(en)]+
12.7 โ The Radius Of The Innermost Electron Orbit Of A Hydrogen Atom Is
Physics Class 12 ยท Chapter 12
12.7 The radius of the innermost electron orbit of a hydrogen atom is 5.3ร10โ11 m. What are the radii of the n = 2 and n =3 orbits?
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๐ Question Details
- Chapter
- Binomial Theorem
- Topic
- Sum of binomial coefficients
- Year
- 2024
- Shift
- 29 Jan Shift 1
- Q Number
- Q83
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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