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MathsMediumMCQ2013 ยท 07 Apr

Q64.Let Tn be the number of all possible triangles formed by joining vertices of an n-sided regular polygon. If Tn+1 โˆ’Tn = 10 , then the value of n is : (1) 10 (2) 8 (3) 5 (4) 7

What This Question Tests

This question requires forming an equation based on the formula for combinations (number of ways to choose 3 vertices from n to form a triangle) and then solving it for n.

Concepts Tested

Combinations (nCr)Polynomial interpretation of combinations

Formulas Used

nCr = n! / (r! * (n-r)!)

nC3

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๐Ÿ“‹ Question Details

Chapter
Permutation & Combination
Topic
Combinations for forming triangles
Year
2013
Shift
07 Apr
Q Number
Q64
Type
MCQ
NCERT Ref
Class 11 Mathematics Ch 7: Permutations and Combinations

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