how many ways can 6 figurines be chosen with at least 4 cat figurines?

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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

Apr 22nd, 2015

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


Apr 22nd, 2015

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