#1
There are 6 ways to pick the mathematician. There are 19C3 ways to pick the others.
#2
There are 10P3 ways to pick 3 of 10 finishers.
#3
Consider the 2 people who must sit together as 1 unit. That means there are 5 individuals to seat around the table. So, there are just 4! ways to seat the people.
1. A group of 25 lecturers include six mathematician. In how many ways can a committee of 4 be selected from this group to include at least one mathematician?
2. In how many ways can the first, second and third positions be taken by ten candidates in a test, assuming that there must be no tie.
3. Six people sit at a round table. In how many ways can that be done if two of them must sit next to each other
1 answer
2 answers