Question

1. the letters of the word space are to be rearranged.

6a how many different arrangements are possible?
arrangements = 120
5 nice work!
6b what is the probability that the letter e will be the first letter?
probability = \\(\frac{1}{5}\\)
5 nailed it!
6c what is the probability that the letters are arranged in alphabetical order?
probability = enter your next step here

Explanation:

Step1: Determine total arrangements

From 6a, total arrangements of "SPACE" (5 distinct letters) is \( 5! = 120 \).

Step2: Determine favorable arrangements

There's only 1 way to arrange the letters in alphabetical order (A, C, E, P, S).

Step3: Calculate probability

Probability = \(\frac{\text{Favorable}}{\text{Total}} = \frac{1}{120}\).

Answer:

\(\frac{1}{120}\)