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Nilai n yang memenuhi C 3 n ​ = 8. C 2 n ​ adalah ...

Nilai  yang memenuhi  adalah ...

 

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I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

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Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell C subscript 3 superscript n end cell equals cell 8. C subscript 2 superscript n end cell row cell fraction numerator n factorial over denominator left parenthesis n minus 3 right parenthesis factorial 3 factorial end fraction end cell equals cell 8 cross times fraction numerator n factorial over denominator left parenthesis n minus 2 right parenthesis factorial 2 factorial end fraction end cell row cell fraction numerator up diagonal strike n left parenthesis n minus 1 right parenthesis end strike left parenthesis n minus 2 right parenthesis up diagonal strike left parenthesis n minus 3 right parenthesis factorial end strike over denominator up diagonal strike left parenthesis n minus 3 right parenthesis factorial end strike cross times 3 cross times 2 cross times 1 end fraction end cell equals cell fraction numerator 8 cross times up diagonal strike n cross times left parenthesis n minus 1 right parenthesis end strike cross times up diagonal strike left parenthesis n minus 2 right parenthesis factorial end strike over denominator up diagonal strike left parenthesis n minus 2 right parenthesis factorial end strike cross times 2 cross times 1 end fraction end cell row cell n minus 2 end cell equals cell fraction numerator 8 cross times 6 over denominator 2 end fraction end cell row cell n minus 2 end cell equals 24 row n equals 26 end table end style

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