Mathematics 9709 · AS & A Level · Permutations and combinations
Permutations and combinations — practice question
Richard owns $3$ blue candles, $2$ red candles and $6$ green candles. Except for colour, the candles are identical. He places the $11$ candles in a straight line.
(a)[2]
Find the number of distinct arrangements of the $11$ candles if a red candle is placed at each end.
(b)[4]
Find the number of distinct arrangements of the $11$ candles if the blue candles all stay together and the red candles do not sit together.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct arrangement expression, for example $\frac{9!}{3!6!}$.” …