Mathematics - Permutation & Combination Question with Solution | TestHub

MathematicsPermutation & CombinationnPr & nCrMedium2 minPYQ_2016

MathematicsMediumsingle choice

If three vertices of a regular hexagon are chosen at random, then the chance that they form an equilateral triangle is:

Options:

Answer:

Solution:

Three vertices can be selected in $^{6} C_{3}$ ways.
The only equilateral triangles possible are $A_{1} A_{3} A_{5}$ and $A_{2} A_{4} A_{6}$ $p = \frac{2}{^{6} C _{3}} = \frac{2}{20} = \frac{1}{10}$

Stream:BITSATSubject:MathematicsTopic:Permutation & CombinationSubtopic:nPr & nCr

⏱ 2mℹ️ Source: PYQ_2016

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