Related InterviewSolutions

• The smallest positive inteter n for which `n!lt((n-1)^(n))/(2)` holds , is __________A. 4B. 3C. 2D. 1
• Find the coefficient of `x^(11)` in the expansion of `(1+2x+x^(2))^(6)`A. 1B. 2C. 6D. 12
• `(x+y)^(3)`=_____________
• For all `n in N,41^(n)-40n-1` is divisible by _________A. 41B. 40C. 300D. 500
• `(n-r)!`= ___________
• In `(n+y)^(n)-(x-y)^(n)`, if the number of term is 5, then find n.A. 6B. 5C. 10D. 9
• The third term form the end in the expansion of `((4x)/(3y)-(3y)/(2x))^(9)` is _____________
• If m and n are the coeficients of `x^(a^(2)) and x^(b^(2))` respectively in `(1+x)^(a^(2)+b^(2))`, then ____________A. `n=2m`B. `m+n=0`C. `2n=m`D. `m=n`
• If `""^(n)C_(3)=""^(n)C_(15)`, then `""^(20)C_(n)` is __________
• The sum of the elements in the sixth row of Pascal triangle is ___________A. 32B. 63C. 128D. 64