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snow_lady [41]
3 years ago
10

How many ways can the letters of the word MINUTES be arranged in a row if M and I must remain next to each other as either MI or

IM
Mathematics
2 answers:
oksian1 [2.3K]3 years ago
7 0

Answer:

1440 combinations ways

Step-by-step explanation:

We know that the total arrangements will be

6!= 720 because its a 6letter word

So if we take MI to be a one letter word

Same for IM

which will Also be 6!= 720

SO TOTAL possible combination will be 720+720= 1440

elena-s [515]3 years ago
4 0

Answer:

1440 ways

Step-by-step explanation:

First, we must consider how many letters are in the word "minutes"

7.

This means that the word "minutes" can be arranged in 7! ways, or simply put in 5040 ways.

But then, we're interested in how many ways it can be arranged with I and M besides each other.

In how many ways can the word be arranged with the letters "MI" together

We would have, "MI, N, U, T, E, S" which happens to be 6!, or say 720 ways.

In how many ways can the word be arranged with the letters "IM" together

We would have, "IM, N, U, T, E, S"

which happens to be 6! or again, 720 ways.

Then, the number of ways it can be arranged with "IM" or "MI" together is

720 + 720, and therefore 1440 ways

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Give the equation of the line that passes through the points (4,6) and (-2,3)
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Answer:

y = 1/2x+4

Step-by-step explanation:

First we find the slope

m = (y2-y1)/(x2-x1)

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The equation of a line in slope intercept form is

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y =1/2x+b

Substitute one of the point into the equation

6 = 1/2(4) +b

6 = 2+b

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The question is incorrect. X is not defined UNLESS the hexagon is a regular hexagon, which means that all sides are equal (given) AND all angles are equal (not given).

Error in question aside, and  ASSUMING the hexagon is regular, you can apply the principle that
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2. the sum of exterior angles and interior angles at EACH vertex is 180.
3. Multiply sum from (2) above by the number of vertices and subtract 360 gives the sum of the interior angles.
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Example for a regular heptagon (7 sides, 7 verfices).
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