question 4
3 pts
in a game, 8 bingo balls are being picked randomly from a pool of 35 bingo numbers.
assuming that the order of the numbers that are picked does not matter, how many possible
ways are there for picking the numbers.

Question

Accepted Answer

# Explanation:
## Step1: Identify the combination formula
The formula for combinations is $C(n,r)=\frac{n!}{r!(n - r)!}$, where $n$ is the total number of items, and $r$ is the number of items to be chosen. Here, $n = 35$ and $r=8$.
## Step2: Calculate factorial values
$$
\begin{align*}
n!&=35!\
r!&=8!\
(n - r)!&=(35 - 8)!=27!
\end{align*}
$$
$$
\begin{align*}
C(35,8)&=\frac{35!}{8!(35 - 8)!}\
&=\frac{35!}{8!×27!}\
&=\frac{35\times34\times33\times32\times31\times30\times29\times28\times27!}{8\times7\times6\times5\times4\times3\times2\times1\times27!}\
\end{align*}
$$
## Step3: Simplify the expression
$$
\begin{align*}
C(35,8)&=\frac{35\times34\times33\times32\times31\times30\times29\times28}{8\times7\times6\times5\times4\times3\times2\times1}\
&=22582950
\end{align*}
$$

# Answer:
$22582950$

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QUESTION IMAGE

Question

Explanation:

Step1: Identify the combination formula

Step2: Calculate factorial values

Step3: Simplify the expression

Answer: