AP EAMCET · Maths · Permutation Combination
If there are 6 alike fruits, 7 alike vegetables and 8 alike biscuits, then the number of ways of selecting any number of things out of them such that at least one from each category is selected, is
- A \(504\)
- B \(336\)
- C \(503\)
- D \(335\)
Answer & Solution
Correct Answer
(B) \(336\)
Step-by-step Solution
Detailed explanation
Total number of ways of selecting one or more things \(=(6+1)(7+1)(8+1)-1=503\) Now, total ways to select from only one category \(=6+7+8=21\) Total ways to select from only two category \(=6 \times 7+8 \times 6+7 \times 8=146\) So, required total ways of selecting at least one…
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