Gate Exam

Let a number n have its base -7 representation as n= 1223334444. the highest power of 7, that divides the number n! is

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Gate Other Question

if x,y,z are acute and cos x= tan y , cos y = tanz , cos z = tan x, then the value of sin x is ; 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.