Gate Exam

A housewife buys a dozen eggs of which two turn out to be bad. She chooses four eggs for breakfast. Find thd chance that she chooses (1) all good eggs (2)three good and one bad (3)two good and two bad (4)at least one bad egg.

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Gate Other Question

Let a number n have its base -7 representation as n= 1223334444. the highest power of 7, that divides the number n! is The radius of the largest circle, which passes through the focus of the parabola y^2=4(x+y) and contained in it is ???