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MATH / How many ways are there to arrange 6 beads of distinct colors in a 2×3 grid if reflections and rotations are considered the same? (In other words, two arrangements are considered t…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

How many ways are there to arrange 66 beads of distinct colors in a 2×32 \times 3 grid if reflections and rotations are considered the same? (In other words, two arrangements are considered the same if I can rotate and/or reflect one arrangement to get the other.)
Plain-text mathematical notation (without MathML)
How many ways are there to arrange 6 beads of distinct colors in a 2×3 grid if reflections and rotations are considered the same? (In other words, two arrangements are considered the same if I can rotate and/or reflect one arrangement to get the other.)
Original LaTeX notation
How many ways are there to arrange $6$ beads of distinct colors in a $2 \times 3$ grid if reflections and rotations are considered the same? (In other words, two arrangements are considered the same if I can rotate and/or reflect one arrangement to get the other.)

level

Level 5

type

Counting & Probability

Discussion

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Source and history

task_id
a2b4ab84-c958-587c-a857-a710ee40bb0f
task_key
counting~5fand~5fprobability--test--a2b4ab84-c958-587c-a857-a710ee40bb0f
task_revision_id
1
config / split
counting_and_probability / test

Official source

initial import