0
Five cheerleaders will be chosen from a group of 15 students How many different cheerleading squads can be formed?
Wiki User
∙ 14y ago
The first can be any one of 15 cheerleaders. For each of those . . .
The second can be any one of the remaining 14. For each of those . . .
The third can be any one of the remaining 13. For each of those . . .
The fourth can be any one of the remaining 12. For each of those . . .
The fifth can be any one of the remaining 11.
The total number of permutations is (15 x 14 x 13 x 12 x 11) = 360,360 .
But . . .
Once you have five people on a squad, the order in which they were chosen doesn't matter.
If you have A-B-C-D-E standing there, it's the same group of kids as A-B-C-E-D. So for each
squad of five, they could have been chosen in (5 x 4 x 3 x 2 x 1) = 120 different ways.
There are 360,360 different ways to choose squads of 5, but only (360360/120) = 3,003 different squads.
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
Use chosen in a sentence?
I think he is the chosen one.We have chosen to watch King Kong.He was never chosen to be part of the cheerleading team.
How many ways can a group of 3 students be chosen from a class of 30 students?
3 students can be chosen from a class of 30 in (30 x 29 x 28) = 24,360 ways.But each group of the same 3 students will be chosen in six different ways.The number of different groups of 3 is 24,360/6 = 4,060 .
Is this a permutation In how many different ways could a committee of 5 students be chosen from a class of 25 students?
6,375,600
How many different groups of 5 students can be chosen from 23 students?
if order does not matter then, (23x22x21x20x19)/(5x4x3x2x1) = 33,649
How many ways can an adviser chosen 4 students from a class of 12 if they are given a different task?
There are 11880 ways.
Did the Pittsburgh Steelers ever have cheerleaders?
The Rooney family is classy. I can't find a reason but at one time they did. They were called the Steelerettes (steelerettes.com) and were a squad chosen from a local junior college. Once the junior college had their own football team, the Steelerettes disbanded. They were the official squad from 1961-1970. The Steelers were actually one of the first teams to ever have cheerleaders. They were named (are you ready for this?) The Steelerettes. How clever. They were basically a gimmick created to take attention away from how awful the team was. The squad only stuck around for about 8 years (61-69) before they were disbanded. As for why they don't have a squad now, can you imagine trying to find a group of attractive women who would be willing to bounce around in short skirts in the middle of December in Pittsburgh? They'd have to be crazy.
How many ways can a committeee of 6 be chosen from 5 teachers and 4 students if the committee must includes three teachers and three students?
There are 10 different sets of teachers which can be combined with 4 different sets of students, so 40 possible committees.
What is the probability a girl is chosen if 15 students are girls and 10 students are boys?
The ratio of girls to total students is 15:25, or 3:5. Three out of five students are girls so there would be a 60% probability that a girl would be chosen; a 2 out of 5 chance, or 40% probability that a boy would be chosen.
How are students chosen to receive lottery scholarships?
randomly
How many different five-person relay teams can be chosen from 7 students?
Any 5 from 7 is (7 x 6)/2 ie 21.
How many different five-person relay teams can be chosen from 10 students?
C105 = 10 ! / (5!x(10-5)!) = 10! /5!2 = 252
How many three person relay teams can be chosen from six students?
two
