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MATH / How many non-empty subsets of {1,2,3,4,5,6,7,8,9,10,11} consist entirely of prime numbers? (We form a subset of the group of numbers by choosing some number of them, without regard…

Problem

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problem

How many non-empty subsets of {1,2,3,4,5,6,7,8,9,10,11}\{ 1 , 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 \} consist entirely of prime numbers? (We form a subset of the group of numbers by choosing some number of them, without regard to order. So, {1,2,3}\{1,2,3\} is the same as {3,1,2}\{3,1,2\}.)
Plain-text mathematical notation (without MathML)
How many non-empty subsets of {1,2,3,4,5,6,7,8,9,10,11} consist entirely of prime numbers?  (We form a subset of the group of numbers by choosing some number of them, without regard to order.  So, {1,2,3} is the same as {3,1,2}.)
Original LaTeX notation
How many non-empty subsets of $\{ 1 , 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 \}$ consist entirely of prime numbers?  (We form a subset of the group of numbers by choosing some number of them, without regard to order.  So, $\{1,2,3\}$ is the same as $\{3,1,2\}$.)

level

Level 4

type

Counting & Probability

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Source and history

task_id
94b73d5e-c696-5ffd-8439-d7f52b777095
task_key
counting~5fand~5fprobability--test--94b73d5e-c696-5ffd-8439-d7f52b777095
task_revision_id
1
config / split
counting_and_probability / test

Official source

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