In my opinion answer is 504

We have 10c2 or 252 options if we ignore 1 out of the two fighting friends, and 252 ways for the other. so it makes 504. Though i m not that good in probabilty, but this is the solution i can think of. :~

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i believe that all the problem solving calculations in Quantitative section have simple calculations. No Long Mahcine requiring calculations r required :D