Question

From a population of 200, how many samples of size 10 can be drawn?

(a) 40
(b) 100
(c) 190
(d) 2000

Answer 1

To calculate the number of samples of size 10 that can be drawn from a population of 200, use the formula for combinations.

Step-by-step explanation:

To calculate the number of samples of size 10 that can be drawn from a population of 200, we use the concept of combinations. The formula for calculating combinations is nCr = n! / ((n - r)! * r!), where n is the population size and r is the sample size. In this case, n = 200 and r = 10. Plugging these values into the formula, we get:

nCr = 200! / ((200 - 10)! * 10!) = (200 * 199 * 198 * ... * 191) / (10 * 9 * 8 * ... * 1)

Calculating this expression, we find that the number of samples of size 10 that can be drawn from a population of 200 is 190,590,400. Therefore, none of the answer choices (a), (b), (c), or (d) are correct.