Check the solution to "How do you evaluate 8 C 2 ?"

autreimL8

Answered question

2022-11-25

How do you evaluate

^{8} C_{2}

Rayan Atkins

Beginner2022-11-26Added 9 answers

The function's evaluation.
As we know, in Mathematics,

^{r} P_{n}

and

^{r} C_{n}

are the permutations and combinations shown by the probability functions.
We will assess the provided function

C 2 8

by using the formula is,

\Rightarrow

C r n = \frac{n!}{(n - r)! \times r!}

Here,

C

is the number of combinations,

n

is the total number of objects in the set and

r

is the number of choosing objects from the set.
Therefore,

\Rightarrow

C 2 8 = \frac{8!}{(8 - 2)! \times 2!}

\Rightarrow

C 2 8 = \frac{8!}{6! \times 2!}

Factoring the term

8!, 2!

and

6!

.
We will simplify the expression by factoring the term

8!, 2!

and

6!

\Rightarrow

C 2 8 = \frac{6! \times 7 \times 8}{6! \times 2}

\Rightarrow

C 2 8 = \frac{56}{1 \times 2}

\Rightarrow

C 2 8 = 28

Hence, the simplified form of

C 2 8

28

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