To solve this problem, we need to determine the number of books each player receives based on their trivia scores and then find the total number of books received by all players.
Here's the step-by-step breakdown:
1. Scores:
- Tla scores 4 points.
- Ron scores 3 points.
- Bella scores 2 points.
2. Books Calculation:
Each player receives a number of books equal to the square of their score.
- Tla's books: [tex]\( 4^2 = 16 \)[/tex] books
- Ron's books: [tex]\( 3^2 = 9 \)[/tex] books
- Bella's books: [tex]\( 2^2 = 4 \)[/tex] books
3. Total Books:
To find the total number of books received by all players, we add the number of books each player gets:
[tex]\[
16 + 9 + 4 = 29 \text{ books}
\][/tex]
Thus, the total number of books the players receive combined is [tex]\( \boxed{29} \)[/tex].
Revisiting the answer choices:
1. [tex]\(4^2 \times 3^2 \times 2^2 \)[/tex]
This would calculate the product of the squared scores, not the sum.
2. [tex]\(4^2 + 3^2 + 2^2\)[/tex]
This matches the sum of the squares of the scores, which is what we calculated.
3. [tex]\(2^4 \times 2^3 \times 2^2\)[/tex]
This does not relate to the scores directly but rather to powers of 2.
4. [tex]\(2^4 + 2^3 + 2^2\)[/tex]
This also does not directly relate since it sums different powers of 2 rather than squaring the scores.
Correct answer choice based on our calculations is:
[tex]\[ 4^2 + 3^2 + 2^2 \][/tex]
And we already worked out that this is [tex]\(16 + 9 + 4 = 29\)[/tex]. So, the final answer is [tex]\( \boxed{29} \)[/tex].
