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Permutations and Combination — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsPermutations and Combination1 Mark
MCQ
Find the number of triangles which can be formed by joining the angular points of a polygon of $8$ sides as vertices.
  • A
    $16$
  • ✓
    $56$
  • C
    $24$
  • D
    $8$
✓

Answer

Correct option: B.
$56$
$56$
A triangle is obtained by joining three vertices.
Number of ways of selecting 3 vertices out of 8 vertices $={ }^8 C _3$
$=\frac{8 \times 7 \times 6}{1 \times 2 \times 3} $
$ =56$

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