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A five digits number of the form xyzyx i...

A five digits number of the form `xyzyx` is choosen, probability that `x

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A five digit number is chosen at random. The probability that all the digits are distinct and digits at odd places are odd and digits at even places are even, is

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Three-digit numbers are formed using the digits 0,1, 2, 3, 4, 5 without repetition of digits. If a number is chosen at random, then the probability that the digits either increase or decrease, is

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