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Hasil Operasi 6!8!​−2!×3!4!​  adalah ...

Pertanyaan

Hasil Operasi begin mathsize 14px style fraction numerator 8 factorial over denominator 6 factorial end fraction minus fraction numerator 4 factorial over denominator 2 factorial cross times 3 factorial end fraction end style  adalah ...

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D. Entry

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D

Pembahasan

Menggunakan konsep notasi faktorial dimana n factorial equals n times left parenthesis n minus 1 right parenthesis times left parenthesis n minus 1 right parenthesis times... times 3 times 2 times 1,

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 8 factorial over denominator 6 factorial end fraction minus fraction numerator 4 factorial over denominator 2 factorial cross times 3 factorial end fraction end cell equals cell fraction numerator 8 times 7 times 6 times 5 times 4 times 3 times 2 times 1 over denominator 6 times 5 times 4 times 3 times 2 times 1 end fraction minus fraction numerator 4 times 3 times 2 times 1 over denominator 2 times 1 times 3 times 2 times 1 end fraction end cell row blank blank blank end table.

Tapi, ternyata bentuk tersebut bisa kita sederhanakan agar memudahkan proses penghitungan.

Maka,

fraction numerator 8 factorial over denominator 6 factorial end fraction minus fraction numerator 4 factorial over denominator 2 factorial cross times 3 factorial end fraction table attributes columnalign right center left columnspacing 0px end attributes row blank equals cell fraction numerator 8 times 7 times left parenthesis 6 times 5 times 4 times 3 times 2 times 1 right parenthesis over denominator 6 factorial end fraction minus fraction numerator 4 times left parenthesis 3 times 2 times 1 right parenthesis over denominator 2 factorial cross times 3 factorial end fraction end cell end table space space space space space space space space space space space space space space space space space space space equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 8 times 7 times up diagonal strike 6 factorial end strike over denominator up diagonal strike 6 factorial end strike 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 4 times up diagonal strike 3 factorial end strike over denominator 2 factorial cross times up diagonal strike 3 factorial end strike end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table space space space space space space space space space space space space space space space space space space space 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 56 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 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space 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 54 end table 

Jadi, jawaban yang tepat adalah D

309

4.3 (6 rating)

Nessa Kusuma

Jawaban tidak sesuai

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