Three boys and two girls stand in a queue. The probability that the number of boys ahead of every girl is atleast one more than the numberof girls ahead of her , is

Options

A. atleast 1000
B. less than 500
C. atleast 500 but less than 750
D. atleast 750 but less than 1000

Answer

A

Explanation

4 novels can be selected from 6 novels in `.^(6)C_(4)` ways. 1 dictionary can be selected from 3 dictionaries in `.^(3)C_(1)` ways. As the dictionary selected is fixed in the middle, the remaining 43 novels can be arragned in 4! Ways.
`therefore`The required number of ways of arrangement.
`=.^(6)C_(4)xx.^(3)C_(1)xx4! =1080`