Q82.The number of 5 -digit natural numbers, such that the product of their digits is 36 , is
What This Question Tests
This question requires finding all possible combinations of five digits whose product is 36, and then counting the number of distinct 5-digit numbers that can be formed using these combinations, involving extensive case analysis.
Concepts Tested
Formulas Used
Number of permutations of n items with r₁ identical items of type 1, r₂ of type 2, ... : n! / (r₁!r₂!...)
📚 NCERT Sections This Tests
5.12 — Write All The Geometrical Isomers Of [Pt(Nh3)(Br)(Cl)(Py)] And How Many Of
Chemistry Class 11 · Chapter 5
5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?
2.2 — A Regular Hexagon Of Side 10 Cm Has A Charge 5 Mc At Each Of Its
Physics Class 11 · 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 — A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 · 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.
📋 Question Details
- Chapter
- Permutation & Combination
- Topic
- Counting Principles
- Year
- 2022
- Shift
- 26 Jul Shift 1
- Q Number
- Q82
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 7: Permutations and Combinations
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