Q62.The number of triangles whose vertices are at the vertices of a regular octagon but none of whose sides is a side of the octagon is (1) 48 (2) 56 (3) 24 (4) 16
What This Question Tests
This question tests the ability to count combinations with restrictions, specifically finding the number of triangles whose sides are not shared with the sides of the octagon using the principle of complementary counting.
Concepts Tested
Formulas Used
C(n, k) = n! / (k!(n-k)!)
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.
5.16 โ Draw Figure To Show The Splitting Of D Orbitals In An Octahedral Crystal Field.
Chemistry Class 11 ยท Chapter 5
5.16 Draw figure to show the splitting of d orbitals in an octahedral crystal field.
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?
๐ Question Details
- Chapter
- Permutation & Combination
- Topic
- Combinations with restrictions
- Year
- 2024
- Shift
- 06 Apr Shift 1
- Q Number
- Q62
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 7: Permutation & Combination
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