Description
Ms. Granger has 24 cat figurines and 6 dog figurines in her drawer. in how many ways can a group of 6 figurines be chosen if there must be at least 4 cat figurines
Explanation & Answer
There can be 3 cases:
Case 1: There are 4 cat figurines
Total no of ways=24C4*6C2
=10626*15=159390
Case 2: There are 5 cat figurines
Total no of ways=24C5*6C1
=42504*6=255024
Case 3: There are 6 cat figurines
Total no of ways=24C6*6C0
=134596
Total no of ways=Sum of all cases
=134596+255024+159390=549010 ways
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