how many different simple random samples of size 5 can be obtained from a population whose size is 33?
the number of simple random samples which can be obtained is (type a whole number)

Question

Accepted Answer

# Explanation:
## Step1: Recall the combination formula
The formula for combinations is $C(n,r)=\frac{n!}{r!(n - r)!}$, where $n$ is the population size and $r$ is the sample size. Here, $n = 33$ and $r=5$.
## Step2: Substitute the values into the formula
$$
\begin{align*}
C(33,5)&=\frac{33!}{5!(33 - 5)!}\
&=\frac{33!}{5!×28!}\
&=\frac{33\times32\times31\times30\times29\times28!}{5\times4\times3\times2\times1\times28!}\
\end{align*}
$$
## Step3: Simplify the expression
$$
\begin{align*}
C(33,5)&=\frac{33\times32\times31\times30\times29}{5\times4\times3\times2\times1}\
&=\frac{33\times32\times31\times30\times29}{120}\
&=237336
\end{align*}
$$

# Answer:
$237336$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the combination formula

Step2: Substitute the values into the formula

Step3: Simplify the expression

Answer: