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Question

In a cricket match against Pakistan, Azhar wants to bat before Jadeja and Jadeja wants to bat before Ganguli. Number of possible batting orders with the above restrictions if the remaining eight team members are prepared to bat at any given place is

A
11!3!
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B
11P3
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C
11!3
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D
none
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Solution

The correct option is A 11!3!
This is 0 question of restricted permutation.
We have 11 places
Let us put ( Azhar, Jadeja, Ganguli) as a sequence.
We have different cases, Azhar can't bat 10 down.
If he has to bat 9 down then Jadeja is 10 down and Ganguli at 11.
Remaining 8 places cab be done in 8! ways.
Similarly doing this for all cases and adding we get,
=11!3!
Hence the answer is 11!3!.

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