Answer: 658 ways.
Step-by-step explanation:
To find the number of ways the number "r" items can be chosen from the available number "n", the combination formula for selection is used. This formula is denoted as:
nCr = n! / (n-r)! × r!
Where n! = n×(n-1)×(n-2) ... ×3×2×1.
If we have 6 accounting majors and 7 finance majors and we are to choose a 7-member committee from these with at least 4 accounting majors on the committee, then the possibilities we have include:
[4 accounting majors and 3 finance majors] Or [5 accounting majors and 2 finance majors] or [ 6 accounting majors and 1 finance major].
Mathematically, this becomes:
[6C4 × 7C3] + [6C5 × 7C2] + [6C6×7C1]
525 + 126 + 7 = 658 ways.
Note: it is 6C4 because we are choosing 4 accounting majors from possible 6. This applies to other selection possibilities.
