A website Maths Puzzle Logical Reasoning Letter Arrangement

Using only the digits from 0 to 6 only, how many 5 digit codes can be constructed, if the first digit cannot be 4 and no digit is used more than once?

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A website Other Question

If x,y,z are three sum of money such that y is the simple interest on x, y is the simple interest on y for the same time and the same rate of interest, then we have-
x2=yz
y2=xy
z2=xy
xyz=1
x=2y
Lottery balls are numbered and coloured balls. In the famous Lotto. six numbered balls are drawn at random from 49 balls. In each ticket one needs to guess the six numbers that would be drawn. If no correct guesses are recieved the prize money is carried to the next draw. It is not uncommon to see prize money accumulating to several millions of dollars. An urn contains in white and n black balls. A ball is drawn at random and is put back into the urn along with k additional balls of the same colour as that of the ball drawn. A ball is again drawn at random. The probability of drawing a white ball now :