Question

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

6a how many different arrangements are possible?
arrangements = enter your next step here

Explanation:

Step1: Identify the number of letters

The word "SPACE" has 5 distinct letters.

Step2: Use the permutation formula for distinct objects

The number of permutations of \( n \) distinct objects is \( n! \) (n factorial). Here, \( n = 5 \), so we calculate \( 5! \).
\( 5! = 5\times4\times3\times2\times1 \)

Step3: Calculate the factorial

\( 5\times4 = 20 \), \( 20\times3 = 60 \), \( 60\times2 = 120 \), \( 120\times1 = 120 \)

Answer:

120