Question

10. If there is a crossword that has four squares that need to be filed, how many possible four letter arrangements are there (assuming they do not have to make a real word)?

Answer 1

Answer:

See Explanation

Step-by-step explanation:

The question didn't specify if letter can be repeated or not;

I'll solve for both;

Given

Number of Letters = 26

Number of squared = 4

If Repetition is allowed;

The four squares can take any of the 26 letters in any order

The first letter can be any of 26; Same with the second, third and fourth letters;

Number of Arrangement = 26 * 26 * 26 * 26

Number of Arrangement = 26⁴

Number of Arrangement = 456976

If Repetition is not allowed;

The first square can be filled with any of the 26 letters;

The second can take any of (26 - 1) letters

The third can take any of (26 - 2) letters

The fourth can take any of (26 - 3) letters

Number of Arrangement = 26 * (26 - 1) * (26 - 2) * (26 - 3)

Number of Arrangement = 26 * 25 * 24 * 23

Number of Arrangement = 358800

Answer 2

Answer:

26!/22!

Step-by-step explanation:

I just took the quiz I got it right