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In how many ways can a coach choose three runners from five runners.
Show your solution please. Yan po yong example sa ibaba

In How Many Ways Can A Coach Choose Three Runners From Five Runners Show Your Solution Please Yan Po Yong Example Sa Ibaba class=

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THEINVISBLEGIN

[tex]{ \tt{C (n,r)= \frac{ n!}{ r!(n - r)!} }}\\ [/tex]

[tex]{ \tt{C (5,3)= \frac{ 5!}{ 3!(5- 3)!} }}\\ [/tex]

[tex]{ \tt{C = \frac{ 5!}{ 3!(2)!} }}\\ [/tex]

[tex]{ \tt{C= \frac{ 5 \times 4 \times \cancel{ 3 \times 2 \times 1}}{ \cancel{ 3 \times 2 \times 1 }\times 2 \times 1 }}}\\ [/tex]

[tex]{ \tt{C = \frac{ 20}{ 2} }}\\ [/tex]

[tex]{ \green{ \boxed{ \tt{C =10 }}}}\\ [/tex]

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