In how many different ways can the letters of the word mathematics be arranged?

2 answers:

4 0

Treat the vowels like they are 1 block, as if they are one letter. But in this vowel block there are 4 vowels, 2 of which are the same. The number of ways of arranging these 4 vowels is then 4!2!4!2!.

Now, treating this block aa one letter, we have 7 consonants and 1 block, so there are 8 'letters' to arrange with two M's and two T's. So we have to divide out by 2! for each. So we get: 8!2!2!8!2!2!.

Finally we multiply this by the number of ways the vowels can be arranged to get:

4!2!8!2!2!

qwelly [4]3 years ago

4 0

2 i believe would be the answer

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Anit [1.1K]

<h3>Answer: Point E is located at (2, 3)</h3>

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Explanation:

The sequence PQRST has T as the last letter.

The sequence ABCDE has E as the last letter

The two letters T and E pair up or they correspond. So T will rotate to land on point E. Or T will rotate to point E's location.

Point T is at location (-3,2). So x = -3 and y = 2.

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Use the rule

(x,y) ---> (y, -x)

which is the rule we use when we rotate any point 90 degrees clockwise around the origin. We swap the x and y coordinates, then change the sign of the second coordinate (after the swap happens).

This means,

(-3, 2) ----> (2, -(-3)) = (2, 3)

or simply

(-3, 2) ---> (2, 3)

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Answer:

D. 1

Step-by-step explanation:

We have the expression, $\frac{\csc^{2}x\sec^{2}x}{\sec^{2}x+\csc^{2}x}$