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Question 290008
JEE Mathematics · Medium

Permutations and Combinations: Selection with constraints MCQ

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Selection with constraintsMediumQuestion 290008

Question

From 10 books, the number of ways to select at least 1 book is:
  1. A
    2¹⁰ − 1
    Correct
  2. B
    2¹⁰
  3. C
    ¹⁰C₁ = 10
  4. D
    10!

Correct answer

2¹⁰ − 1

Explanation

Each book can be selected or not: 2¹⁰ total subsets. Subtract the empty set: 2¹⁰ − 1 = 1023.

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