Questions: An employee at a store is going to display 8 scented candles in a row on a shelf. He will put one of the candles, Jasmine Blossom, in the first spot. He will put another of the candles, Vanilla Cookie, in the second spot. In how many ways can he arrange the candles?

Solution Steps

This step is straightforward as Candle A is fixed in the first position.

Similarly, Candle B is fixed in the second position, leaving no choice for these two spots.

Since there are \(n-2\) candles left and \(n-2\) spots, the number of ways to arrange these is given by the factorial of \(n-2\), i.e., \((n-2)!\).

The calculation for the number of arrangements is \((n-2)!\) = \(6!\).

Final Answer