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Tentukan nilai : a. 7 ! × 3 ! 9 ! ​ b. 3 ! × 4 ! 6 ! × 2 ! ​ c. 5 ! × 3 ! 11 ! ​ d. 6 ! × 17 ! × 3 ! 20 ! ​

Tentukan nilai :

a.  

b.  

c.  

d.  

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Pembahasan

a. Jadi, hasil dari adalah 12. b. Jadi, nilai dari adalah 10. c. Jadi, nilai dari adalah 55.440. d. Jadi, nilai dari adalah 820.800.

a. 

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 9 factorial over denominator 7 factorial cross times 3 factorial end fraction end cell equals cell fraction numerator 9 cross times 8 cross times 7 factorial over denominator 7 factorial cross times 3 cross times 2 cross times 1 end fraction end cell row blank equals cell fraction numerator 9 cross times 8 over denominator 3 cross times 2 cross times 1 end fraction end cell row blank equals 12 end table 

Jadi, hasil dari fraction numerator 9 factorial over denominator 7 factorial cross times 3 factorial end fraction adalah 12.

b.

 table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 6 factorial cross times 2 factorial over denominator 3 factorial cross times 4 factorial end fraction end cell equals cell fraction numerator 6 cross times 5 cross times 4 factorial cross times 2 factorial over denominator 3 cross times 2 factorial cross times 4 factorial end fraction end cell row blank equals cell fraction numerator 6 cross times 5 over denominator 3 end fraction end cell row blank equals 10 end table 

Jadi, nilai dari fraction numerator 6 factorial cross times 2 factorial over denominator 3 factorial cross times 4 factorial end fraction adalah 10.

c. 

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 11 factorial over denominator 5 factorial cross times 3 factorial end fraction end cell equals cell fraction numerator 11 cross times 10 cross times 9 cross times 8 cross times 7 cross times 6 cross times 5 factorial over denominator 5 factorial cross times 3 cross times 2 cross times 1 end fraction end cell row blank equals cell fraction numerator 11 cross times 10 cross times 9 cross times 8 cross times 7 cross times 6 over denominator 3 cross times 2 cross times 1 end fraction end cell row blank equals cell 11 cross times 10 cross times 9 cross times 8 cross times 7 end cell row blank equals cell 55.440 end cell end table 

Jadi, nilai dari fraction numerator 11 factorial over denominator 5 factorial cross times 3 factorial end fraction adalah 55.440.

d.

 table attributes columnalign right center left columnspacing 0px end attributes row cell 6 factorial cross times fraction numerator 20 factorial over denominator 17 factorial cross times 3 factorial end fraction end cell equals cell 6 cross times 5 cross times 4 cross times 3 factorial cross times fraction numerator 20 cross times 19 cross times 18 cross times 17 factorial over denominator 17 factorial cross times 3 factorial end fraction end cell row blank equals cell 6 cross times 5 cross times 4 cross times 20 cross times 19 cross times 18 end cell row blank equals cell 820.800 end cell end table 

Jadi, nilai dari 6 factorial cross times fraction numerator 20 factorial over denominator 17 factorial cross times 3 factorial end fraction adalah 820.800.

 

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