Posted by **Anna** on Saturday, January 2, 2010 at 11:43pm.

A school has 8 math teachers, 6 English teachers, and 2 geography teachers. From this group, a 5 teacher committee is required. Calculate the number of ways that this committee can be formed if at least one geography teachers must be on the committee.

- Probability -
**Reiny**, Saturday, January 2, 2010 at 11:52pm
The number of committees without restrictions is C(16,5) = 4368

The number of committees without any geography teachers is C(14,5) = 2002

So the number of ways with at least one geography teacher is 4368-2002 = 2366

or:

1 geography teacher : C(2,1)*C(14,4) = 2002

2 geography teachers : C(2,2)*C(14,3) = 364

sum = 2002+364 = 2366 (as above)

## Answer This Question

## Related Questions

- Math - Find the probability of: a) Rolling a three OR a six with a single die ...
- college math - How many different committees can be formed from 9 teachers and ...
- Math - Scummydale Senior High School has 8 math teachers and 4 history teachers...
- probability - a 15 member committee will be selected from 18 teachers, 20 ...
- math 12 - A committee of students and teachers is being formed to study the ...
- Statistics - A COMMITTEE OF 5 PEOPLE IS TO BE FORMED FROM 15 PARENTS AND 10 ...
- math - how many different committees can be formed from 6 teachers and 31 ...
- 7th grade math (probability) - I'm not sure how to answer this: 3. THe 7th grade...
- Math - Can someone guide me with this question? Four teachers and five students ...
- algebra - Lincoln High School has 98 teachers. Of the 42 female teachers 8 teach...

More Related Questions