Asked by anyanwu nnamdi david
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
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
Answers
Answered by
Steve
#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.
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.
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