Question

Resolva a expressão:


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Answer 1

Resposta:

Explicação passo a passo:

$A_{n,p} =\frac{n!}{(n-p)!}$

$A_{6,2} =\frac{6!}{4!} =\frac{6.5.4!}{4!}=6.5=30$

$A_{4,3} =\frac{4!}{1!} =\frac{4.3.2.1}{1} =24$

$A_{5,2} =\frac{5!}{3!} =\frac{5.4.3!}{3!}=5.4=20$

$A_{9,2} =\frac{9!}{7!} =\frac{9.8.7!}{7!}=9.8=72$

$A_{8,1} =\frac{8!}{7!} =\frac{8.7!}{7!}=8$

$C_{n,p}=\frac{n!}{p!.(n-p)!}$

$C_{10,4}=\frac{10!}{4!.(10-4)!}$

$C_{10,4}=\frac{10!}{4!.6!}$

$C_{10,4}=\frac{10.9.8.7.6!}{24.6!}$

$C_{10,4}=\frac{10.9.8.7}{24}$

$C_{10,4}=\frac{10.72.7}{24}$

$C_{10,4}=\frac{10.24.3.7}{24}$

$C_{10,4}=10\:.\:3\:.\:7=210$

$\frac{30+24-20}{72+8}+210=$

   $\frac{34}{80} +210=$

  $0,425+210=$

      $210,425$