Question

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

Answer 1

Number of random samples = 962598

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=(N!)/(x!(N-x)!)`

Given:

Population size = 43

Sample size = 5

Number of random samples =
`43C5`

⇒
`(43!)/(5!(43-5)!)`

⇒
`(43!)/(5!(38)!)`

⇒
`(43*42*41*40*39)/(5*4*3*2*1)` [Canceling out the common terms]

⇒
`962598` (Answer)