Let's go through each question one by one.
Question 1: What is 57 × 58?
To calculate:
\[ 57 \times 58 = 3306 \]
Here are the provided options:
- 52
- 5 squared (25)
- 556
- 5 to the 56th power
- 515
- 5 to the 15th power
- 25
None of the choices match the result of 3306.
Question 2: What is 85 / 82?
To calculate:
\[ 85 / 82 \approx 1.037 \]
None of the provided options (87, 8 to the 7th power, 64, 810, 8 to the 10th power, 83, 8 cubed) match the result.
Question 3: (7c3)(8c2)
Using the combination formula \( nCk = \frac{n!}{k!(n-k)!} \):
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Calculate \( 7C3 \): \[ 7C3 = \frac{7!}{3!(7-3)!} = \frac{7!}{3!4!} = \frac{7 \times 6 \times 5}{3 \times 2 \times 1} = 35 \]
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Calculate \( 8C2 \): \[ 8C2 = \frac{8!}{2!(8-2)!} = \frac{8!}{2!6!} = \frac{8 \times 7}{2 \times 1} = 28 \]
Now multiply the two results: \[ (7C3)(8C2) = 35 \times 28 = 980 \]
The answers provided do not seem to have a direct match for 980, but we can simplify since \( (7C3)(8C2) = 15C5 \) when combined based on certain combinatorial identities.
Question 4: What is 8591?
It appears most likely this is simply a number and does not require calculation. Given the options:
- 1
- 0
- 859
The correct response is 8591 since that is the numerical representation of the question.
Summary of Responses:
- Result of \( 57 \times 58 = 3306 \) (none matching)
- \( 85 / 82 \approx 1.037\) (none matching)
- (7c3)(8c2) = 35 * 28 = 980 (answer can be simplified to relate combinatorially)
- The response for "What is 8591?" is simply 8591.
If you need clarifications on specific details or corrections on assumptions, let me know!