<h3>
Answer: 90720 </h3>
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Explanation:
There are 9 letters in "Metallica", so there would be 9! = 9*8*7*6*5*4*3*2*1 = 362880 different permutations; however, this is only the case if we could tell the letters L and A apart.
We have two copies of each of those repeated letters, so we have to divide by 2!*2! = (2*1)*(2*1) = 4 to account for these repeats.
Because we can't tell the repeated letters apart, we really have (9!)/(2!*2!) = (362880)/(4) = 90720 different permutations.
First, let's review what the "factorial operator" ! means.
5! = 5*4*3*2*1.
3! = 3*2*1
7! = 7*6*5*4*3*2*1
Then:
7! 7*6*5*4*3*2*1 7*6*5*4 5040
----- = ----------------------- = ------------- = ----------- = 5040 (answer)
3! 3*2*1 1 1
Using the numbers 1 through 9 only once in the boxes, the largest value of x you can get is <u>7</u>.
<h3>What are mathematical operations?</h3>
Mathematical operations refer to the calculation of values using operands and mathematical operators.
Mathematical operations are formed like functions to take zero or more input values (operands) to a well-defined output value.
Some of the mathematical operators perform addition, subtraction, multiplication, division, exponentiation, and modulus operations.
<h3>Data and Calculations:</h3>
Mx + y = z
Let m = 1
x = 7
y = 2
1 x 7 + 2 = 9
7 + 2 = 9
9 = 9
Thus, using the numbers 1 through 9 only once in the boxes, the largest value of x you can get is <u>7</u>.
Learn more about mathematical operations at brainly.com/question/20628271
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Step-by-step explanation:
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