Question

How many different simple random samples of size 5 cab be obtained from a population whose size is 46

Answer 1

To calculate the number of different simple random samples of size 5 that can be drawn from a population of 46, the combination formula C(46, 5) = 46! / (5! * 41!) is used, resulting in the total number of possible samples.

Step-by-step explanation:

The question of how many different simple random samples of size 5 can be obtained from a population of size 46 is a problem of combinatorics, specifically concerning combinations in mathematics. The formula for calculating combinations is given by C(n, k) = n! / (k! * (n - k)!), where 'n' is the total number of items in the population, 'k' is the size of each sample, and '!' denotes factorial.

To find the number of possible simple random samples of size 5 from a population of 46, we would plug in the values into the combination formula:

C(46, 5) = 46! / (5! * (46 - 5)!) = 46! / (5! * 41!)

Once calculated, this would give the total number of different simple random samples that can be drawn from the population of 46.

Answer 2

1370754

Step-by-step explanation:

From what I can see, you are probably studying combinations and permutations at the moment. Since this is a question about how many groups of five can be produced from a sample size of 46, the groups are random and not in order, which may rule for us to use the combination formula.

Once you compute this, this answer is basically saying that 1370754 groups of 5 can be created from a sample size of 46