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Question

How many necklaces of 12 beads can be made from 18 beads of various colours?

A
119×13!2
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B
110×14!2
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C
153×11!2
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D
110×12!2
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Solution

The correct option is C 153×11!2
Selecting 12 beads out of 18 = 18C12
Making a necklace = 11!2
Total =18C2×11!2=153×11!2

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