The number of different samples of n=3 from a population of 20 can be calculated using the combination formula, which is:

C(n, r) = n! / [r!(n-r)!]

where:
- n is the total number of items,
- r is the number of items to choose,
- "!" denotes factorial, which is the product of all positive integers up to that number.

So, in this case, n=20 and r=3. Substituting these values into the formula gives:

C(20, 3) = 20! / [3!(20-3)!]
= 20! / [3! * 17!]
= (20 * 19 * 18) / (3 * 2 * 1)
= 1140

So, there are 1140 different samples of 3 items that can be drawn from a population of 20. Therefore, the correct answer is c. 1140.

Question

The number of different samples of n=3 from a population of 20 can be calculated using the combination formula, which is:

C(n, r) = n! / [r!(n-r)!]

where:
- n is the total number of items,
- r is the number of items to choose,
- "!" denotes factorial, which is the product of all positive integers up to that number.

So, in this case, n=20 and r=3. Substituting these values into the formula gives:

C(20, 3) = 20! / [3!(20-3)!]
= 20! / [3! * 17!]
= (20 * 19 * 18) / (3 * 2 * 1)
= 1140

So, there are 1140 different samples of 3 items that can be drawn from a population of 20. Therefore, the correct answer is c. 1140.

Knowee AI · Accepted Answer

The number of different samples of n=3 from a population of 20 can be calculated using the combination formula, which is:

C(n, r) = n! / [r!(n-r)!]

where:
- n is the total number of items,
- r is the number of items to choose,
- "!" denotes factorial, which is the product of all positive integers up to that number.

So, in this case, n=20 and r=3. Substituting these values into the formula gives:

C(20, 3) = 20! / [3!(20-3)!]
= 20! / [3! * 17!]
= (20 * 19 * 18) / (3 * 2 * 1)
= 1140

So, there are 1140 different samples of 3 items that can be drawn from a population of 20. Therefore, the correct answer is c. 1140.

Suppose a population consisted of 20 items. How many different sample of n = 3 are possible?Question 13Select one:a.20b.120c.1140d.6840

Question

Solution

Similar Questions

Upgrade your grade with Knowee