MATES

In MATES (Small Television tipping) from 35 randomly numbers drawn 5 winning numbers. How many possible combinations there is?

Correct result:

n =  324632

Solution:

n=C5(35)=(355)=35!5!(355)!=353433323154321=324632n = C_{{ 5}}(35) = \dbinom{ 35}{ 5} = \dfrac{ 35! }{ 5!(35-5)!} = \dfrac{ 35 \cdot 34 \cdot 33 \cdot 32 \cdot 31 } { 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } = 324632



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