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Nilai

Nilai begin mathsize 14px style fraction numerator 1 over denominator 8 factorial end fraction plus fraction numerator 2 over denominator 9 factorial end fraction plus fraction numerator 3 over denominator 10 factorial end fraction equals... end style

  1. begin mathsize 14px style bevelled fraction numerator 113 over denominator 10 factorial end fraction end style

  2. begin mathsize 14px style bevelled fraction numerator 91 over denominator 10 factorial end fraction end style

  3. bevelled fraction numerator size 14px 73 over denominator size 14px 10 size 14px factorial end fraction

  4. begin mathsize 14px style bevelled fraction numerator 71 over denominator 10 factorial end fraction end style

  5. begin mathsize 14px style bevelled fraction numerator 4 over denominator 10 factorial end fraction end style

Jawaban:

Faktorial adalah hasil kali n bilangan asli pertama, didefinisikan sebagai

begin mathsize 14px style n factorial equals n cross times left parenthesis n minus 1 right parenthesis cross times left parenthesis n minus 2 right parenthesis cross times... cross times 3 cross times 2 cross times 1 end style

Sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 1 over denominator 8 factorial end fraction plus fraction numerator 2 over denominator 9 factorial end fraction plus fraction numerator 3 over denominator 10 factorial end fraction end cell equals cell fraction numerator 1 over denominator 8 factorial end fraction plus fraction numerator 2 over denominator 9 cross times 8 factorial end fraction plus fraction numerator 3 over denominator 10 cross times 9 cross times 8 factorial end fraction end cell row blank equals cell fraction numerator 90 plus 20 plus 3 over denominator 10 cross times 9 cross times 8 factorial end fraction end cell row blank equals cell fraction numerator 113 over denominator 10 factorial end fraction end cell end table end style

Jadi, jawaban yang tepat adalah A.

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