Q64.The value of 1 1 1 1 1 + + + โฆ . + + is 1!50! 3!48! 5!46! 49!2! 51!1! (1) 250 (2) 250 50! 51! (3) 251 (4) 251 51! 50!
What This Question Tests
This question tests the ability to recognize a sum involving binomial coefficients disguised in factorial notation and apply properties of binomial expansions, specifically the sum of odd coefficients.
Concepts Tested
Formulas Used
nCr = n! / (r!(n-r)!)
ฮฃ C(n, odd) = 2^(n-1) for odd n
๐ NCERT Sections This Tests
5.11 โ Draw All The Isomers (Geometrical And Optical) Of:
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)]+
5.12 โ Write All The Geometrical Isomers Of [Pt(Nh3)(Br)(Cl)(Py)] And How Many Of
Chemistry Class 11 ยท Chapter 5
5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?
5.28 โ How Many Ions Are Produced From The Complex Co(Nh3)6Cl2 In Solution?
Chemistry Class 11 ยท 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
๐ Question Details
- Chapter
- Binomial Theorem
- Topic
- Sums of binomial coefficients
- Year
- 2023
- Shift
- 01 Feb Shift 1
- Q Number
- Q64
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 8: Binomial Theorem
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