If there are Six different colored tiles are available to make a pattern in a row of floor tile. How many possible different 4-color patterns are possible if no colors may be repeated?

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1135503

2026-05-07 11:35

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To determine the number of different 4-color patterns using 6 different colored tiles without repetition, we can use the permutation formula. The number of ways to choose and arrange 4 colors out of 6 is calculated as ( P(6, 4) = \frac{6!}{(6-4)!} = \frac{6!}{2!} = 6 \times 5 \times 4 \times 3 = 360 ). Therefore, there are 360 possible different 4-color patterns.

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