Find total number of distinct possible outcomes n(S) of the following random experiment.From a box containing 25 lottery tickets any 3 tickets are drawn at random. - Mathematics and Statistics

Sum

Find total number of distinct possible outcomes n(S) of the following random experiment.
From a box containing 25 lottery tickets any 3 tickets are drawn at random.

Solution

3 tickets are selected from a box containing 25 tickets at random.
3 tickets can be drawn from 25 tickets in 25C3 ways.
∴ n(S) = 25C3

= (25xx24xx23)/(3xx2xx1)

= 2300

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