Write the sample space for randomly selecting one minister and one dep

1.	Write the sample space for randomly selecting one minister and one deputy minister from four persons.
Answer» Suppose, four persons are denoted by a, b, c and d. Firstly, one minister can be selected in ⁴C₁ ways than secondly one deputy minister can be selected in ³C₁ ways. ∴ Total number of selections = ⁴C₁ × ³C₁ = 4 × 3 = 12 Hence, the sample space for randomly selecting one minister and one deputy minister from four persons is expressed as follows: U = {(a, b), (a, c), (a, d), (b, a), (b, c), (b, d), (c, a), (c, b), (c, d), (d, a), (d, b), (d, c)}. Where, in each bracket, first place indicates minister and second place indicates deputy minister.

Write the sample space for randomly selecting one minister and one deputy minister from four persons.

Answer»

Suppose, four persons are denoted by a, b, c and d. Firstly, one minister can be selected in ⁴C₁ ways than secondly one deputy minister can be selected in ³C₁ ways.

∴ Total number of selections = ⁴C₁ × ³C₁
= 4 × 3
= 12

Hence, the sample space for randomly selecting one minister and one deputy minister from four persons is expressed as follows:

U = {(a, b), (a, c), (a, d), (b, a), (b, c), (b, d), (c, a), (c, b), (c, d), (d, a), (d, b), (d, c)}.

Where, in each bracket, first place indicates minister and second place indicates deputy minister.

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