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 [tex]N[/tex] the number of different random samples that can be chosen for a sample size [tex]x[/tex] can be calculated as = [tex]NCx[/tex]
This can be calculated as :
[tex]NCx=\frac{N!}{x!(N-x)!}[/tex]
Given:
Population size = 43
Sample size = 5
Number of random samples = [tex]43C5[/tex]
⇒ [tex]\frac{43!}{5!(43-5)!}[/tex]
⇒ [tex]\frac{43!}{5!(38)!}[/tex]
⇒ [tex]\frac{43\times42\times41\times40\times39}{5\times4\times3\times2\times1}[/tex] [Canceling out the common terms]
⇒ [tex]962598[/tex] (Answer)
