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horsena [70]
3 years ago
8

Calculate the number of different words that can be obtained by rearranging the letters of the word trust.

SAT
1 answer:
Strike441 [17]3 years ago
3 0

There are 5 letters in the word trust and the number of different words that can be obtained from the word trust is; 115

Since, at least 2 letters are required to make a word from the word trust;

We can evaluate the number of different words that can be obtained by rearranging the letters of the word trust as;

  • 5! - 5

  • = (5×4 × 3 × 2 × 1) - 5

  • = 120 - 5

  • = 115

Read more on combinations and permutations;

brainly.com/question/4658834

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Answer:

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Explanation:

The equation can be rewritten as:

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x=\frac{-b+-\sqrt{b^{2}-4ac} }{2a} \\\\=\frac{-(-6)+-\sqrt{(-6)^{2} -4(1)(-4)} }{2(1)} \\\\=\frac{6+-\sqrt{36+16} }{2} \\\\=\frac{6+-\sqrt{52} }{2} \\\\=\frac{2(3)+-2\sqrt{13} }{2} \\\\=\left \{ {{x_{1}=3+\sqrt{13} } \atop {x_{2}=3-\sqrt{13} }} \right.

Find the solution that's positive:

\left \{ {{x_{1} = 3+\sqrt{13} = 6.605551275... } \atop {x_{2} = 3-\sqrt{13} = -0.605551275... }} \right

Therefore, the solution would be 3+\sqrt{13}.

In the form of a+\sqrt{b},

  • a = 3
  • b = 13
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