probability: committee of 2 math, 3 Eng from 5 math, 7 Eng

Sequences, counting (including probability), logic and truth tables, algorithms, number theory, set theory, etc.

probability: committee of 2 math, 3 Eng from 5 math, 7 Eng

Postby odail on Tue May 06, 2014 12:28 am

Out of 5 mathematics teachers and 7 English teachers a committee consisting of 2 mathematics teachers and 3 English teachers is to be formed. In how many ways can this be done if any of the mathematics teachers and any English teachers can be chosen ?
odail
 
Posts: 1
Joined: Mon May 05, 2014 11:52 pm

Sponsor

Sponsor
 

Re: probability: committee of 2 math, 3 Eng from 5 math, 7 E

Postby maggiemagnet on Tue May 06, 2014 11:21 am

odail wrote:Out of 5 mathematics teachers and 7 English teachers a committee consisting of 2 mathematics teachers and 3 English teachers is to be formed. In how many ways can this be done if any of the mathematics teachers and any English teachers can be chosen ?

You have 5 math teachers and need to pick 2 and the order doesn't matter, so it's a combination. Do the "5 choose 2" formula. Do the same kind of thing for the 7 English teachers. (You can review, with some practice problems, here.)
:clap:
User avatar
maggiemagnet
 
Posts: 302
Joined: Mon Dec 08, 2008 12:32 am


Return to Discrete Math