Mathematics Tes...

The value of 1+(1+i)+(1+i)²+(1+i)³=

The value of i²+i⁴+i⁶+...i^2(2n+1) ?

Number of combinations of p letters from 3p letters of which p are l, p are m and rest are distinct, are given by-

There are stalls for 10 animals in a ship. The number of ways the shipload can be made if there are cows, calves and horses to be transported, animals of each kind being not less than 10, is-

The number of non-negative integral solutions to the system of equations x+y+z+u+t=20 and x+y+z=5

The number of seven digits integers,with sum of the digits equal to 10 and formed by using the digits 1,2 and 3 only ,is-

The number of ways in which 9 flowers, of which 5 are identical and white, and the other four are of different colours, can be set on garland so that no two of the coloured flowers are consecutive, is-

If \(64=x^{y},\) where \(x>y, x \neq 4\) and

\(y \neq 1\) then \(x+y=\)

The greatest integer which divides \((p+1)(p+2)(p+3) \ldots .(p+q)\) for all \(p \in \mathbb{N}\) and fixed \(q \in \mathbb{N}\) is

Find the highest power of 3 contained in 120!