How do I Evaluate 10c4?

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Jim G. Share
May 22, 2017

Answer:

#210#

Explanation:

#"using the definition of " ""^nC""_r#

#• ""^nC""_r=(n!)/(r!(n-r)!)#

#"where " n! =n(n-1)(n-2)(n-3)..... xx1#

#rArr""^(10)C""_4=(10!)/(4!xx6!)larr" 6! cancel"#

#color(white)(xxxxxx)=(10xx9xx8xx7)/(4xx3xx2xx1)#

#color(white)(xxxxxx)=210#

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