COMEDK · Maths · 4. Permutation Combination
A batch of 10 cupcakes consists of 5 chocolate, 3 vanilla, and 2 strawberry. If 4 cupcakes are selected to be put into a gift box, find the number of different ways they can be chosen if the selection must include at least 2 chocolate, at most 1 vanilla, and exactly 1 strawberry cupcake.
- A \(60\)
- B \(20\)
- C \(1200\)
- D \(80\)
Answer & Solution
Correct Answer
(D) \(80\)
Step-by-step Solution
Detailed explanation
Let \(C\), \(V\), and \(S\) be the number of chocolate, vanilla, and strawberry cupcakes selected, respectively. We are given the conditions: \(C + V + S = 4\) \(C \ge 2\) \(V \le 1\) \(S = 1\) Since \(S = 1\), we have \(C + V = 3\). The possible values for \((C, V)\) satisfying…
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