Pertanyaan

Nilai dari 20 ! 1 − 21 ! 15 + 22 ! 12 adalah ...

Nilai dari $\frac{1}{20 !} - \frac{15}{21 !} + \frac{12}{22 !}$ adalah ...

O. Rahmawati

Master Teacher

Mahasiswa/Alumni UIN Sunan Gunung Djati Bandung

Jawaban terverifikasi

Jawaban

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$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 1 over denominator 20 factorial end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 15 over denominator 21 factorial end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 12 over denominator 22 factorial end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 144 over denominator 22 factorial end fraction end cell end table end style$ .

Pembahasan

Diketahui 20 ! 1 − 21 ! 15 + 22 ! 12 , Sehingga didapat: Jadi, .

Diketahui $\frac{1}{20 !} - \frac{15}{21 !} + \frac{12}{22 !}$ , Sehingga didapat:

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 1 over denominator 20 factorial end fraction minus fraction numerator 15 over denominator 21 factorial end fraction plus fraction numerator 12 over denominator 22 factorial end fraction end cell equals cell fraction numerator 21.22.1 over denominator 22 factorial end fraction minus fraction numerator 15.22 over denominator 22 factorial end fraction plus fraction numerator 12 over denominator 22 factorial end fraction end cell row blank equals cell fraction numerator 462 over denominator 22 factorial end fraction minus fraction numerator 330 over denominator 22 factorial end fraction plus fraction numerator 12 over denominator 22 factorial end fraction end cell row blank equals cell fraction numerator 144 over denominator 22 factorial end fraction end cell end table end style$

Jadi, $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 1 over denominator 20 factorial end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 15 over denominator 21 factorial end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 12 over denominator 22 factorial end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 144 over denominator 22 factorial end fraction end cell end table end style$ .

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