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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
A company stores products in a warehouse. Storage bins in this warehouse are specified by their aisle, location in the aisle, and shelf. There are $50$ aisles, $85$ horizontal locations in each aisle, and $5$ shelves throughout the warehouse. What is the least number of products the company can have so that at least two products must be stored in the same bin?
Solution
Total number of storage bins:$50\times85\times5=21250$
By pigeonhole principle, if $21250$ products are stored, each product can be placed in a different bin.
To guarantee that at least two products are stored in the same bin, we need one more product.
So, least number of products:
$21250+1=21251$
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