$^n{C_r}{ + ^{n - 1}}{C_r} + ......{ + ^r}{C_r}$ =
$^{n + 1}{C_r}$
$^{n + 1}{C_{r + 1}}$
$^{n + 2}{C_r}$
${2^n}$
$^{20}C_1 + 3 ^{20}C_2 + 3 ^{20}C_3 + ^{20}C_4$ is equal to-
If $'n'$ objects are arranged in a row then the number of ways of selecting three of these objects so that no two of them are next to each othe
In how many ways a team of $10$ players out of $22$ players can be made if $6$ particular players are always to be included and $4$ particular players are always excluded
The total number of different combinations of one or more letters which can be made from the letters of the word ‘$MISSISSIPPI$’ is
The number of ways to give away $25$ apples to $4$ boys, each boy receiving at least $4$ apples, are