Q65.The largest natural number n such that 3n divides 66! is _______
What This Question Tests
This question requires direct application of Legendre's formula to find the largest power of a prime number that divides a given factorial.
Concepts Tested
Formulas Used
E_p(n!) = ฮฃ floor(n/p^k)
๐ NCERT Sections This Tests
3.23 โ The Rate Constant For The Decomposition Of Hydrocarbons Is 2.418 ร 10โ5Sโ1
Chemistry Class 11 ยท Chapter 3
3.23 The rate constant for the decomposition of hydrocarbons is 2.418 ร 10โ5sโ1 at 546 K. If the energy of activation is 179.9 kJ/mol, what will be the value of pre-exponential factor.
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.
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
- Permutation & Combination
- Topic
- Exponent of a Prime in a Factorial
- Year
- 2023
- Shift
- 08 Apr Shift 1
- Q Number
- Q65
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 7: Permutation & Combination
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