Question

Find total number of distinct possible outcomes n(S) of the following random experiment.
From a group of 4 boys and 3 girls, any two students are selected at random.

Answer 1

Two students are selected at random from a group of 4 boys and 3 girls (total 7)
2 students can be selected from a group of 7 students in ⁷C₂ ways.
∴ n(S) = ⁷C₂ = `(7xx6)/(2xx1)` = 21