The number of ways of distributing $8$ identical rings to $3$ different girls so that every girl gets at least $1$ ring is

The least value of natural number $n$ satisfying $C(n, 5) + C(n, 6) > C(n + 1, 5)$ is

In how many ways can one select a cricket team of $11$ from $17$ players in which only $5$ players can bowl,if each cricket team of $11$ must include exactly $4$ bowlers?

In an election,a voter can vote for any number of candidates but not more than the number of candidates to be elected. There are $10$ candidates and $4$ are to be elected. If a voter must vote for at least one candidate,in how many ways can they vote?

The number of ways to distribute $25$ identical apples among $4$ boys,such that each boy receives at least $4$ apples,is

The total number of ways of selecting $4$ letters from all the letters of the word $TSEAMCET$ is