SOLUTION: in how many ways can a committee of 7 be formed if there are 10 dogs and 15 cats to choose from and the committee must consist of at least one cat?

Algebra ->  Algebra  -> Permutations -> SOLUTION: in how many ways can a committee of 7 be formed if there are 10 dogs and 15 cats to choose from and the committee must consist of at least one cat?      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   


Question 356644: in how many ways can a committee of 7 be formed if there are 10 dogs and 15 cats to choose from and the committee must consist of at least one cat?
Answer by stanbon(57967) About Me  (Show Source):
You can put this solution on YOUR website!
in how many ways can a committee of 7 be formed if there are 10 dogs and 15 cats to choose from and the committee must consist of at least one cat?
------------
# of committees with no cats: 10C7
---
# of committees with no restrictions: 25C7
----
# of committees with at least one cat:
25C7 - 10C7 = 480,580
======================
Cheers,
Stan H.