Related InterviewSolutions

• Find a if 17th and 18th terms in the expansion of`(2+a)^(50)`are equal.A. `1//3`B. `1//2`C. `1`D. None of these
• Find the value of `1/(81^n)-(10)/(81^n)^(2n)C_1+(10^2)/(81^n)^(2n)C_2-(10^3)/(81^n)^(2n)C_3++(10^(2n))/(81^n)`.
• Prove that `^m C_1^n C_m-^m C_2^(2n)C_m+^m C_3^(3n)C_m-=(-1)^(m-1)n^mdot`
• Find a, b and n in the expansion of `(a+b)^n`if the first three terms of the expansion are 729, 7290 and 30375, respectively.
• Thesum of coefficients of integral powers of x in the binomial expansion of `(1-2sqrt(x))^(50)`is:(1) `1/2(3^(50)+1)`(2) `1/2(3^(50))`(3) `1/2(3^(50)-1)`(4) `1/2(2^(50)+1)`A. `1/2(3^(50) + 1)`B. `1/2(3^(50))`C. `1/2(3^(50) - 1)`D. `1/2(2^(10) + 1)`
• Thesum of coefficients of integral powers of x in the binomial expansion of `(1-2sqrt(x))^(50)`is:(1) `1/2(3^(50)+1)`(2) `1/2(3^(50))`(3) `1/2(3^(50)-1)`(4) `1/2(2^(50)+1)`A. `(1)/(2) (3^(50) + 1)`B. `(1)/(2) (3^(50))`C. `(1)/(2) (3^(50) - 1)`D. `(1)/(2) (3^(50) + 1)`
• Thesum of coefficients of integral powers of x in the binomial expansion of `(1-2sqrt(x))^(50)`is:(1) `1/2(3^(50)+1)`(2) `1/2(3^(50))`(3) `1/2(3^(50)-1)`(4) `1/2(2^(50)+1)`
• In a binomial distribution `B(n , p=1/4)`, if the probability of at least one success isgreater than or equal to `9/(10)`, then n isgreater than(1) `1/((log)_(10)^4-(log)_(10)^3)`(2) `1/((log)_(10)^4+(log)_(10)^3)`(3) `9/((log)_(10)^4-(log)_(10)^3)`(4) `4/((log)_(10)^4-(log)_(10)^3)`
• Least positive integer just greater than `(1+0. 00002)^(50000)`is.
• Find the sum of the roots (real or complex) of the equation `x^2001 + (1/2-x)^2001=0` .A. `2000`B. `2001`C. `1000`D. `500`