How do you evaluate 6C3?

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Jul 21, 2016

Answer:

#""^6C_3=20#

Explanation:

#""^nC_r# is selection of #r# possible combinations of objects from a set of #n# objects.

Mathematically #""^nC_r=(n!)/(r!xx(n-r)!)#

Hence #""^6C_3=(6!)/(3!xx(6-3)!)#

= #(6xx5xx4xx3xx2xx1)/((3xx2xx1)xx(3xx2xx1))#

= #(6xx5xx4)/(3xx2xx1)=5xx4=20#

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