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MATH / The letters C, O, U, N and T are randomly placed around a circle. One such…

Problem

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

problem

The letters C, O, U, N and T are randomly placed around a circle. One such arrangement is shown here. If we always start with the C and continue to read the rest of the letters in order clockwise, in how many different orders can the letters appear?

[asy]
draw(circle((0,0),1),dashed);
label("U",dir(90));
label("C",dir(90+360/5));
label("O",dir(90+2*360/5));
label("N",dir(90+3*360/5));
label("T",dir(90+4*360/5));
[/asy]

level

Level 3

type

Counting & Probability

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Source and history

task_id
e04b643d-1bcd-569e-95b8-cf5efadde6ee
task_key
counting~5fand~5fprobability--test--e04b643d-1bcd-569e-95b8-cf5efadde6ee
task_revision_id
1
config / split
counting_and_probability / test

Official source

initial import