COMEDK · Maths · 4. Permutation Combination
A shopkeeper sells three varieties of fruit juice. He has a large number of bottles of same size of each variety. The number of different ways of displaying all the three varieties on the shelf with 5 places in a row and each display must have at least one bottle of each variety is
- A \(60\)
- B \(150\)
- C \(90\)
- D \(120\)
Answer & Solution
Correct Answer
(B) \(150\)
Step-by-step Solution
Detailed explanation
Let the three varieties of fruit juice be \(A\), \(B\), and \(C\). We need to fill 5 places in a row such that each variety appears at least once. This is equivalent to finding the number of onto functions from a set of 5 elements to a set of 3 elements. The total number of ways…
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