Gate Exam

What is the coefficient of x49 in (x-1)(x2-2)(x3-3)................(x10-10) ?

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Gate Other Question

Total 5 digit numbers divisible by 6 formed by using 0,1,2,3,4 & 5, if repetition of digits is not allowed is ? if x^y means x raised to the power y. find the last two digits of 2957^3661+3081^3643.