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521 Math #114: Distinct Sums of subsets (Pigeonhole Principle)
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Let X be a set of positive integers not exceeding 24. What is the maximum value of |X| so that X have sums of all subsets different.
Example: A={2,3,7,11} is a set of all sums of subsets as
2, 3, 7, 11, 5, 9, 13, 10, 14, 18, 12, 16, 20, 21, 23;
the sums are of different values. In this case |A| = 4.
(A) 4
(B) 5
(C) 6
(D) 7
Please have a good try.
Please give it a try before looking at the answer and explanation.
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A math problem will be solved and discussed on every TUESDAY. These problems are suitable for math enthusiasts, it helps in learning and sharpening skills in math Olympiad skill too.
Check it out and share to anyone who may like it. Please comment if you have any idea to improve the videos, or any alternative solutions to the problems.
Have fun and enjoy the problem solving!
Example: A={2,3,7,11} is a set of all sums of subsets as
2, 3, 7, 11, 5, 9, 13, 10, 14, 18, 12, 16, 20, 21, 23;
the sums are of different values. In this case |A| = 4.
(A) 4
(B) 5
(C) 6
(D) 7
Please have a good try.
Please give it a try before looking at the answer and explanation.
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
A math problem will be solved and discussed on every TUESDAY. These problems are suitable for math enthusiasts, it helps in learning and sharpening skills in math Olympiad skill too.
Check it out and share to anyone who may like it. Please comment if you have any idea to improve the videos, or any alternative solutions to the problems.
Have fun and enjoy the problem solving!
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