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27 votes
27 votes
How many different sample size of n=3 can be drawn from the population

How many different sample size of n=3 can be drawn from the population-example-1
User MMK
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1 Answer

20 votes
20 votes

I'll focus on question 10 only. Let me know if you need me to answer the others.

We have the population with this set of numbers: {2,4,6,8,10}

There are 5 values in that set.

Now consider having slots labeled A,B and C to represent the three placeholders for the numbers.

  • For slot A, we have 5 choices
  • Slot B has 5-1 = 4 choices
  • Slot C has 5-2 = 3 choices

There are 5*4*3 = 20*3 = 60 permutations and 60/(3*2*1) = 60/6 = 10 combinations.

Therefore, we have 10 different subsamples of 3 items.

Answer: Choice C) 10

User DavidWayne
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2.8k points
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