Syntel Company Numerical Ability Permutation and Combination

choosing 2 people out of 10 in how many combinations can a particular person (some name) be always included….

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Syntel Other Question

there are 6 keys and 6 locks. then number of combinations to be tried out to get the actual solution from 6 white balls and 7 black balls probability that 2 balls drawn at random are of the same color?