The number of ways that the coach can assign the 4 positions to his 16 players would be 43, 680 ways
<h3>How to calculate the permutation</h3>
The formula for permutation is given as;
Permutation = 
n = 16
r =4
Permutation = 
Permutation = 
Permutation = 43, 680 ways
Thus, the number of ways that the coach can assign the 4 positions to his 16 players would be 43, 680 ways
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rectangle has a length of
18 feet. The width is x feet
less than the length. If the
area must be less than 216
square feet, what could be
the measurement of the
width?
Answer:
The proof contains a simple direct proof, wrapped inside the unnecessary logical packaging of a proof by contradiction framework.
Step-by-step explanation:
The proof is rigourous and well written, so we discard the second answer.
This is not a fake proof by contradiction: it does not have any logical fallacies (circular arguments) or additional assumptions, like, for example, the "proof" of "All the horses are the same color". It is factually correct, but it can be rewritten as a direct proof.
A meaningful proof by contradiction depends strongly on the assumption that the statement to prove is false. In this argument, we only this assumption once, thus it is innecessary. Other proofs by contradiction, like the proof of "The square root of 2 is irrational" or Euclid's proof of the infinitude of primes, develop a longer argument based on the new assumption, but this proof doesn't.
To rewrite this without the superfluous framework, erase the parts "Suppose that the statement is false" and "The fact that the statement is true contradicts the assumption that the statement is false. Thus, the assumption that the statement was false must have been false. Thus, the statement is true."
Answer:
A. z = 2292.8 is your answer
Step-by-step explanation:
Isolate the variable (z). Note the equal sign, what you do to one side, you do to the other. Add 1092.8 to both sides
z - 1092.8 (+1092.8) = 1200 (+1092.8)
z = 1200 + 1092.8
z = 2292.8
A. z = 2292.8 is your answer
~
We have to give counter example for the given statement:
"The difference between two integers is always positive"
This statement is not true. As integers is the set of numbers which includes positive and as well as negative numbers including zero.
Consider any two integers say '2' and '-8'. Now, let us consider the difference between these two integers.
So, 2 - 8
= -6 which is not positive.
Therefore, it is not necessary that the difference of two integers is only positive. The difference of two integers can be positive, negative or zero.
