JEE Advanced Mathematics question

MathematicsPermutations and CombinationsJEE Advanced

In a packet there are different books, different pens and different pencils. The number of selections of at least one article of each type from the packet is

Answer: (D)

Solution

From different books, a non-empty selection can be made in ways (each book is either taken or not, minus the empty choice). Similarly ways for pens and for pencils. Requiring at least one article **of each type**:

---1),

which is none of (a), (b), (c). (Small check:

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Question ID VK-108216