Thursday

December 18, 2014

December 18, 2014

Posted by **jenny** on Monday, May 21, 2012 at 1:08pm.

- algebra 2 help please -
**Count Iblis**, Monday, May 21, 2012 at 4:54pmThis is one minus the probability that all the girls audition for different roles. The total number of ways of assigning roles to the girls is 12^7, because to each of the 7 girls, you have a choice of 12 roles.

Then if each girl is to receive a different role, then there are 12!/5! possibilities for that. If you start assigning roles to the girls, then for the first girl, there are 12 choices, but for the next you have to choose one of the 11 different ones, so 11 for the next, and then one of the 10 remaining for the next etc. etc., and this is 12*11*10*...*6 = 12!/(12-7)! =12!/5!

The probability that a random assignment of one of the 12^7 roles would happen to be one of the 12!/5! roles where each girl has a different role, is

(12!/5!)/12^7 = 12!/(12^7 5!)

Then the probability that two or more girls addition for the same part is the probability that not all the girls are assigned different roles, this is thus:

1 - 12!/(12^7 5!)

- algebra 2 help please -
**Sarah**, Wednesday, October 9, 2013 at 8:24pm0.22

- algebra 2 help please -
**Sarah**, Wednesday, October 23, 2013 at 12:36amActually, you should come out with .89. My teacher told us that it is 1 - 12P7/12^7.

**Answer this Question**

**Related Questions**

algebra 2 - 7 girls audition for 12 roles in a school play. What is the ...

Math - assume 8 males audition, one of them being Miles, 6 females audition, one...

problem solving - A play is being put on at the school. There are 9 possible ...

English - Thank you very much for your help. I still ha a few doubts on a few ...

math - 8. Of the 180 students who took part in the Race for Hunger, about 5/8 ...

English - Thank you very much for your corrections. I would kie to know if ...

math - A play is being put on at the school. There are 9 possible roles for ...

MATHS - Two different schools (A and B) have the same number of pupils. The ...

Math 1 - In audition for school play, 70% passed the quality of the jurors for ...

Mathematics 1 - In audition for school play, 70% passed the quality of the ...