159k views
1 vote
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 Scottmf
by
3.8k points

1 Answer

10 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 Denis Kanygin
by
4.8k points