Mathematics, 12.03.2021 21:00 cierra3678

Refer to the solution to Exercise 9.3.11 to answer the following questions. (a) How many ways can the letters of the word MINUTES be arranged in a row? (b) 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? Answering this question requires using both the multiplication rule and the addition rule . The answer to the question is

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Answer from: BluSeaa

a) Total number of ways can the letters of the word MINUTES be arranged in a row = 5040

b) Total number of ways in which M and I must remain next to each other = 1440

Step-by-step explanation:

To find - Refer to the solution to Exercise 9.3.11 to answer the following

questions.

(a) How many ways can the letters of the word MINUTES

be arranged in a row?

(b) 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?

Proof -

Given that , the word is - MINUTES

We can see that all the words are different.

So, Total number of ways they can arrange in a row = 7!

= 7×6×5×4×3×2×1

= 5040

⇒Total number of ways can the letters of the word MINUTES be arranged in a row = 5040

Given word is - MINUTES

Given that , M and I must remain next to each other

So, treat them as 1 word

If IM appears then

Total number of words = 6

So, they can arrange in 6! ways

Also,

MI appears then

Total number of words = 6

So, they can arrange in 6! ways

∴ we get

Total number of ways in which M and I must remain next to each other = 6! + 6! = 720 + 720 = 1440

⇒Total number of ways in which M and I must remain next to each other = 1440

Answer from: Quest

y-y1=4(x-x1)

step-by-step explanation:

this is point-slope form since you only have 4 as the slope it goes in place of m

hope this : )

Answer from: Quest

the answer is b. 60. each interior angle in 120, so the exterior angle must be 60 in order to add up to 180

step-by-step explanation:

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Refer to the solution to Exercise 9.3.11 to answer the following questions. (a) How many ways can th...