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number of handshake between 10 pepole

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TCS Other Question

Lottery balls are numbered and coloured balls.In famous lotto,six numbered balls are drawn from 49 balls randomly.In each ticket one needs to guess the numberthatwould be drawn.In no guesses are correct,prize money willl be carried to next draw.It is not uncommon to see prize money accumulating in several dollars.An urn contains m white and nblack balls, A ball is drawn at randomand is put back into the urn along with additionl k balls of the same colour as that of tha ball drawn. a ball is again drawn at random. The prblty of drawing a white ball now.
a)does not depend on k
b)increases with k
c) deceases with k
d)cant be detrmnd
in how many ways letters of 7 english alphabets arranged between A and B without repetition