Question

How many different simple random sampmes of size 5 can be obtained from a pppulation whose size is 43?​

Answer 1

Answer:

Number of random samples = 962598

Step-by-step explanation:

A random sample represents  the responses for a certain survey of a part of the population.

A sample size is the part of the population being surveyed.

For a population $N$ the number of different random samples that can be chosen for a sample size $x$ can be calculated as = $NCx$

This can be calculated as :

$NCx=\frac{N!}{x!(N-x)!}$

Given:

Population size = 43

Sample size = 5

Number of random samples = $43C5$

⇒ $\frac{43!}{5!(43-5)!}$

⇒ $\frac{43!}{5!(38)!}$

⇒ $\frac{43\times42\times41\times40\times39}{5\times4\times3\times2\times1}$    [Canceling out the common terms]

⇒  $962598$   (Answer)