Question

Question #1
Revisit
O 21
Suppose a finite population contains 7 items and 3 items are selected at random without
replacement, then all possible samples will be
O 14
O 7
O 35
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Answer 1

Answer:

35 is your answer plese mark me as brainliest please

Answer 2

Answer:

The number of all samples is 35.

Explanation:

Given the total number of items, n =7

The number of randomly selected items are, r = 3

The number of ways where a sample of r items can be chosen from a large set of n distinguishable items is given by the NCR formula.

$C(n, r)=^{n} C_r=\dfrac{n!}{r!(n-r)!}$

where n is total set of population and r is the sample or the subset of the population.

Substituting the given values, the number of the possible samples is

$^{7} C_3=\dfrac{7!}{3!(7-3!}$

      $=\dfrac{7!}{3!(4)!}=\dfrac{7\times 6\times 5}{3\times2}$

      $=7\times 5=35$  

Therefore, the number of all samples is 35.

Therefore, the correct answer is option 4.

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