Two numbers are successively drawn from the set {1, 2, 3, 4, 5, 6, 7} without replacement and the outcomes recorded in that order. What is the number of elementary events in the random experiment ?

Options

A. 49
B. 42
C. 21
D. 14

Answer

B

Explanation

Given set is `{1, 2, 3, 4, 5, 6, 7}`
Total numbers in set = 7
Since, two numbers are drawn without replacement
`therefore` Total number of elementary events `= ""^(7)C_(1) xx ""^(6)C_(1)`
`= 7 xx 6`
= 42