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Welcome to "Mathematical Deep Thoughts"! In this JEE Maths video, we delve into the fascinating world of selfish sets and simple selfish subsets. Get ready to embark on a mathematical journey full of intriguing concepts!

Question: A finite set of positive integers is called selfish if it contains its own cardinality as a member. For example, {2, 5} is selfish because it contains 2 elements. However, {1, 2, 5} is not selfish since it contains 3 elements but does not include 3 itself. A selfish set is called simple selfish if none of its proper subsets is selfish. For example, {2, 5} is a simple selfish set, but {1, 3, 7} is selfish yet not simple selfish.

Now, the task at hand is to determine the number of simple selfish subsets that can be formed from the set {1, 2, 3, 4, 5, 6, 7, 8, 9}. To crack this puzzle, we will explore various strategies and mathematical reasoning, unraveling the essence of simple selfishness.

By carefully analyzing the given set and applying combinatorial techniques, we will unveil the answer to this intriguing question. Join us on this mathematical adventure as we dive deep into the world of selfish sets and work towards finding the number of simple selfish subsets.


Make sure to stay tuned to "Mathematical Deep Thoughts" for more thought-provoking discussions, challenging questions, and enlightening insights into the realm of mathematics. Don't forget to like, comment, and subscribe to our channel to never miss an exciting episode! Let's unravel the mysteries of simple selfishness together!

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