Write the sample space for the experiment of randomly selecting three

1.	Write the sample space for the experiment of randomly selecting three numbers from the first five natural numbers.
Answer» First five natural numbers are 1, 2, 3, 4, 5. The number of ways of selecting three numbers from these five numbers is ⁵C₃ =\( \frac{5×4×3}{3×2×1}\) = 10. Hence, the sample space for the experiment of randomly selecting three numbers from the first five natural numbers is expressed as follows: U = {(1, 2, 3), (1, 2, 4), (1, 2, 5), (1, 3, 4), (1, 3, 5), (1, 4, 5), (2, 3, 4), (2, 3, 5), (2, 4, 5), (3, 4, 5)}.

Write the sample space for the experiment of randomly selecting three numbers from the first five natural numbers.

Answer»

First five natural numbers are 1, 2, 3, 4, 5. The number of ways of selecting three numbers from these five numbers is ⁵C₃ =\( \frac{5×4×3}{3×2×1}\) = 10.

Hence, the sample space for the experiment of randomly selecting three numbers from the first five natural numbers is expressed as follows:

U = {(1, 2, 3), (1, 2, 4), (1, 2, 5), (1, 3, 4), (1, 3, 5), (1, 4, 5), (2, 3, 4), (2, 3, 5), (2, 4, 5), (3, 4, 5)}.

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Write the sample space for the experiment of randomly selecting three numbers from the first five natural numbers.

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