Question

How many three letter arrangements can be made from the letters of COMPLEXITY?*

Answer 1

Answer:

720 arrangements

Step-by-step explanation:

We have three spaces that we want to fill with any letter from "complexity":

__ __ __

For the first space, we have 10 letters to choose from (there are 10 letters in the word "complexity"). For the second space, since we have already used up one letter for the first space, we have 9 letters remaining to choose from. Similarly, we only have 8 letters remaining to choose from for the last space.

Now, we multiply them all together: 10 * 9 * 8 = 720 arrangements.

Note that we multiply instead of add. This is because for any letter we place in space 1, it can be paired with any of the 9 letters for space 2 and any of the 8 letters for space 3.

Hope this helps!