In how many ways can a committee consisting of three men and four women be formed from a group of six men and seven women?
Choose the correct answer.
A) ⁶C₄ ⁷C₃  B) ⁶C₃ ⁷C₅  C) ⁷C₄ ⁶C₃  D) ⁶C₃ ⁷C₃  E) ⁷C₅ ⁶C₄
The group contain six men and seven women   Three men can be selected from six men in ⁶C₃ ways.   Four women can be selected from seven women in ⁷C₄ ways.   Total number of ways = (⁷C₄)(⁶C₃).   Answer:⁷C₄ ⁶C₃
<result>C</result>
In how many ways can a committee consisting of three men and four women be formed from a group of six men and seven women?