when selcting from a set of 10 distinct integersif sampling is done with replacement, how many samples of 5 are possible

10⁵ = 100,000

Step-by-step explanation:

Data provided in the question:

Number of available choices = 10

for the sample of 5 i. e n = 5

Repetition is allowed

Thus,

Total samples of 5 that are possible = (Number of available choices) ⁿ

thus,

Total samples of 5 that are possible = 10⁵

Hence,

The Total samples of 5 that are possible = 100,000