Discussion

Explanation:

There are 5 identical Maths books, 4 identical Reasoning books and 3 identical English books.

For Math books: 

Either we can pick no Math book or only 1 book or 2 books or 3 books or 4 books or 5 books i.e., we can pick Math books in (5 + 1) = 6 ways.

Similarly for Reasoning, number of ways of picking books = (4 + 1) = 5 ways, and

For English, number of ways of picking books = (3 + 1) = 4 ways.

∴ Total Number of ways of picking books = (5 + 1)(4 + 1)(3 + 1) = 120 ways.

Out of these 120 ways, there would be 1 possibility when no book is picked.

∴ Total Number of ways of picking at least 1 book = 120 – 1 = 119 ways.

Hence, 119.

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