How many different pairs of people can you select from a group of 9 persons, if the order of selection does not matter?
How many different pairs of people can you select from a group of 9 persons, if...
Select a committee of 3 people from your staff of 9. How many different ways can this be accomplished? Select a committee of 3 people from your staff of 9. How many different ways can this be accomplished when one person will be the lead, one will be the record keeper, and one will be the researcher?
Question 5: There are 6 persons in an office. A group consisting of 3 persons has to be formed. In how many ways can the group be formed? (order does not matter)
a. How many ways to pick president, secretary and treasurer from a group of 5 people? b. How many ways to get 3 heads, if you flip a coin 5 times (the order does not matter)?
How many different committees of 6 people can you form from a group of 10 men and 8 women so that it includes 4 women and 2 men? The positions of the committee are not numbered in any way. Show how you arrive at your answer. Thank You
How many ways are there to pick a group of n people from 100 people, and then pick a second group of m people from the remaining 100- n people, so that all the people you chose from the first group are taller than the people from the second group (assume that everyone in the group of 100 people has a different height) ote: it is implied in this question that 1 <n < 100 an d 0m100-n.
In how many ways can a committee of size 12 be formed from 20 people? Assume that, when people are chosen for a committee, the order of the choices does not matter
1. How many different committees of 4 people can be chosen to work on a special project from a group of 9 people? 2. . There are 15 people who work in an office together. Five of these people are selected to go together to the same conference in Orlando, Florida. How many ways can they choose this team of five people to go to the conference.
How many ways are there to pick a group of n people from 100 people, and then pick a second group of m people from the remaining 100 -n people, so that all the people you chose from the first group are taller than the people from the seconod group (assume that everyone in the group of 100 people has a different height.) Note: it is implied in this question that 1くnく100 and 0 mく100-n.
(a) In how many ways can 7 people be lined up to get on a bus? (b) If 5 specific persons, among 7, insist on following each other, how many ways are possible? (c) If 2 specific persons, among 7, refuse to follow each other, how many ways are possible? (a) The 7 different people can be lined up in 5040 different ways. (b) The people can be lined up in different ways. (c) The people can be lined up...
Exercise 9. From a box of 10 lightbulbs, you are to remove 4. How many different sets of 4 lightbulbs could you remove? A talent contest has 8 contestants. Judges must award prizes for first, second, Exercise 10. and third places, with no ties. (a) In how many different ways can the judges award the 3 prizes? (b) How many different groups of 3 people can get prizes?