How many ways are there to fill a candelabra with $4$ candle holders from a box of $6$ distinctly colored candles?
Although the $4$ candles are distinctly colored, the order of placing them on a candelabra should not matter. So this is just a "combination" problem and the answer should be $\binom{6}{4} = \frac{6!}{4!2!}$
But the answer states that order matters, and says the answer is basically: $6\times5\times4\times3 = 360$
How does order of candles on a candelabra matter?
Because "red candle, blue candle, green candle, yellow candle" is not the same as "blue candle, red candle, green candle, yellow candle".