Question

In a cricket against Zimbabwa, Azhar wants to bat before jabeja and wants to bat before Ganguli. Number of possible batting orders with the above restrictions, if the remaining eight team members are prepared to bat any given place, is
A. `(11!)/(8!)`
B. `(11!)/(3)`
C. `(11!)/(3!)`
D. `(11!)/(2!)`

Answer 1

Correct Answer - C
In a cricket …………..
All the eleven plyers can be arranged in `11!` ways. But as from the order of three players is fixed
`:.` number of ways `= (11!)/(3!) = 11_(C_(3)).8!`