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Tentukan nilai begin mathsize 14px style n end style dari persamaan berikut!

a. begin mathsize 14px style 2 cross times C subscript 2 superscript 2 n plus 1 end superscript equals 3 factorial cross times P subscript 2 superscript n end style 

Keterangan:

begin mathsize 14px style C equals end styleKombinasi

begin mathsize 14px style P equals end stylePermutasi

  1. ...undefined 

  2. ...space 

I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 2 cross times C subscript 2 superscript 2 n plus 1 end superscript end cell equals cell 3 factorial cross times P subscript 2 superscript n end cell row cell 2 cross times fraction numerator left parenthesis 2 n plus 1 right parenthesis factorial over denominator left parenthesis 2 n plus 1 minus 2 right parenthesis factorial 2 factorial end fraction end cell equals cell 3 cross times 2 cross times 1 cross times fraction numerator n factorial over denominator left parenthesis n minus 2 right parenthesis factorial end fraction end cell row cell fraction numerator left parenthesis 2 n plus 1 right parenthesis left parenthesis 2 up diagonal strike n right parenthesis up diagonal strike left parenthesis 2 n minus 1 right parenthesis factorial end strike over denominator up diagonal strike left parenthesis 2 n minus 1 right parenthesis factorial end strike end fraction end cell equals cell 6 cross times fraction numerator up diagonal strike n left parenthesis n minus 1 right parenthesis 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 end fraction end cell row cell 4 n plus 2 end cell equals cell 6 n minus 6 end cell row cell 4 n minus 6 n end cell equals cell negative 6 minus 2 end cell row cell negative 2 n end cell equals cell negative 8 end cell row n equals 4 row blank blank blank row blank blank blank end table end style 

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