benchmarks.wiki / Public workspace
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Omni-MATH / Admiral Ackbar needs to send a 5-character message through hyperspace to the…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
problem
Admiral Ackbar needs to send a 5-character message through hyperspace to the Rebels. Each character is a lowercase letter, and the same letter may appear more than once in a message. When the message is beamed through hyperspace, the characters come out in a random order. Ackbar chooses his message so that the Rebels have at least a chance of getting the same message he sent. How many distinct messages could he send?
Plain-text mathematical notation (without MathML)
Admiral Ackbar needs to send a 5-character message through hyperspace to the Rebels. Each character is a lowercase letter, and the same letter may appear more than once in a message. When the message is beamed through hyperspace, the characters come out in a random order. Ackbar chooses his message so that the Rebels have at least a (1)/(2) chance of getting the same message he sent. How many distinct messages could he send?
Original LaTeX notation
Admiral Ackbar needs to send a 5-character message through hyperspace to the Rebels. Each character is a lowercase letter, and the same letter may appear more than once in a message. When the message is beamed through hyperspace, the characters come out in a random order. Ackbar chooses his message so that the Rebels have at least a $\frac{1}{2}$ chance of getting the same message he sent. How many distinct messages could he send?Discussion
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Source and history
- task_id
fc079de8-b316-5e29-9525-e3f0ff166d5a- task_key
test--fc079de8-b316-5e29-9525-e3f0ff166d5a- task_revision_id
- 1
- config / split
- / test
initial import