There are $3$ candidates for a post and one is to be selected by the votes of $7$ men. The number of ways in which votes can be given is

How many different necklaces can be formed with $6$ white and $5$ red beads?

Each section in the first year of a plus $2$ course has exactly $40$ students. If there are $5$ sections,in how many ways can a set of $4$ student representatives be selected,$1$ from each section?

If the best and the worst paper never appear together,then six examination papers can be arranged in how many ways?

In an examination,Yamini has to select $4$ questions from each part. There are $6, 7,$ and $8$ questions in Part-$I,$ Part-$II,$ and Part-$III,$ respectively. What is the number of possible combinations in which she can choose the questions?

There are $n$ points in a plane of which $p$ points are collinear. How many lines can be formed from these points?