Committees

How many different committees of 6 people can be formed from a class of 30 students?

Result

n =  593775

Solution:

n=C6(30)=(306)=30!6!(306)!=302928272625654321=593775n = C_{{ 6}}(30) = \dbinom{ 30}{ 6} = \dfrac{ 30! }{ 6!(30-6)!} = \dfrac{ 30 \cdot 29 \cdot 28 \cdot 27 \cdot 26 \cdot 25 } { 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } = 593775



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