Resposta:
[tex]\textsf{Leia abaixo}[/tex]
Explicação passo a passo:
[tex]\mathsf{C_{n,p} = \dfrac{n!}{p!.(n - p)!}}[/tex]
[tex]\mathsf{C_{4,2} \times C_{4,2} = \dfrac{4!}{2!.(4 - 2)!} \times \dfrac{4!}{2!.(4 - 2)!}}[/tex]
[tex]\mathsf{C_{4,2} \times C_{4,2} = \dfrac{4.3.\not2!}{2!.\not2!} \times \dfrac{4.3.\not2!}{2!.\not2!}}[/tex]
[tex]\mathsf{C_{4,2} \times C_{4,2} = \dfrac{12}{2} \times \dfrac{12}{2}}[/tex]
[tex]\mathsf{C_{4,2} \times C_{4,2} = 6 \times 6}[/tex]
[tex]\boxed{\boxed{\mathsf{C_{4,2} \times C_{4,2} = 36}}}\leftarrow\textsf{letra A}[/tex]
[tex]\mathsf{C_{51,3} = \dfrac{51!}{3!.(51 - 3)!}}[/tex]
[tex]\mathsf{C_{51,3} = \dfrac{51.50.49.48!}{3!.48!}}[/tex]
[tex]\mathsf{C_{51,3} = \dfrac{124.950}{6}}[/tex]
[tex]\boxed{\boxed{\mathsf{C_{51,3} = 20.825}}}\leftarrow\textsf{letra B}[/tex]
