Calculate The Combination Of C(5,3)I Need The Correct And ... - Brainly

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answered • expert verified Calculate the combination of C(5,3)I need the correct and complete solution.​ See answer UK2019 UK2019 UK2019

✏️COMBINATIONS

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  • Calculate the combination of C(5,3).

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\qquad\Large\rm» \:\: \green{C(5,3) = 10}

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» Using the CombinationFormulato indicate the number of combination.

\begin{aligned} & \bold{\color{lightblue}Formula:} \\ & \boxed{\: \rm _nC_r = \frac{n!}{r!(n-r)!} \:} \end{aligned}

  • \begin{aligned} \rm C(5,3) = \frac{5!}{3!(5 - 3)!} \end{aligned}
  • \begin{aligned} \rm C(5,3) = \frac{5!}{3! \ 2!} \end{aligned}
  • \begin{aligned} \rm C(5,3) = \frac{5 \cdot 4 \cdot \cancel{3!}}{ \cancel{3!} \cdot 2} \end{aligned}
  • \begin{aligned} \rm C(5,3) = \frac{5 \cdot \cancel4^{ \ 2} }{ \cancel2} \end{aligned}
  • \rm C(5,3) = 5 \cdot 2
  • \rm C(5,3) = 10

\therefore The number of combination is 10.

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