As the title states, the question is: "How many ways can six of the letters of the word ALGORITHM be selected and written in a row if the first letter must be A?"
I don't really get what the problem is asking me. I know I have to solve it with permutations, but I really don't know where to start or when to know I've come up with the right answer.
I know it has to be done through permutations. I'm honestly a little confused on the question they are asking though, if it's saying that it must be ALGORI where three can be anything in which case it would be (9 + 8 + 7 + 6 + 5 + 4) * 3!
Or is it something like P(9,3) = 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 / 6 * 5 * 4 * 3 * 2 * 1??