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 = enter your next step here

Explanation:

Step1: Determine total arrangements

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

Step2: Find favorable arrangements

If E is first, the remaining 4 letters can be arranged in \( 4! = 24 \) ways.

Step3: Calculate probability

Probability = \( \frac{\text{Favorable}}{\text{Total}} = \frac{4!}{5!} = \frac{24}{120} = \frac{1}{5} \).

Answer:

\(\frac{1}{5}\)