Q83.If the coefficient of ๐7๐8 in the expansion of ( ๐+ 2๐+ 4๐๐) 10 is ๐พยท 216, then ๐พ is equal to
What This Question Tests
This question requires applying the multinomial theorem to find the coefficient of a specific term in the expansion of a trinomial expression and then solving for the unknown constant K.
Concepts Tested
Formulas Used
General term of multinomial expansion: (n! / (p!q!r!)) * x^p * y^q * z^r
๐ NCERT Sections This Tests
2.2 โ A Regular Hexagon Of Side 10 Cm Has A Charge 5 Mc At Each Of Its
Physics Class 11 ยท Chapter 2
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.
12.5 โ A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 ยท Chapter 12
12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
1.27 โ If The Solubility Product Of Cus Is 6 ร 10โ16, Calculate The Maximum Molarity Of
Chemistry Class 11 ยท Chapter 1
1.27 If the solubility product of CuS is 6 ร 10โ16, calculate the maximum molarity of CuS in aqueous solution.
๐ Question Details
- Chapter
- Binomial Theorem
- Topic
- Multinomial Theorem
- Year
- 2021
- Shift
- 31 Aug Shift 2
- Q Number
- Q83
- Type
- Numerical
- 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
Q77.Statement-1: โnr=0(r + 1)nCr = (n + 2)2nโ1 Statement -2: โnr=0(r + 1)nCrxr = (1 + x)n + nx(1 + x)nโ1 . JEE Main 2008 JEE Main Previous Year Paper (1) Statement โ1 is false, Statement โ2 is true (2) Statement โ1 is true, Statement โ2 is true, Statement โ2 is a correct explanation for Statement โ1 (3) Statement โ1 is true, Statement โ2 is true; (4) Statement โ1 is true, Statement โ2 is false. Statement โ2 is not a correct explanation for Statement โ1.
Q65.The remainder left out when 82n โ(62)2n+1 is divided by 9 is (1) 0 (2) 2 (3) 7 (4) 8