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ikadub [295]
3 years ago
15

A classic counting problem is to determine the number of different ways that the letters of millennium can be arranged. Find tha

t number. The number of different ways that the letters of millennium can be arranged is
Mathematics
1 answer:
Eddi Din [679]3 years ago
7 0

Answer:

<u>The correct answer is that the number of different ways that the letters of the word "millennium" can be arranged is 226,800</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Number of letters of the word "millennium" = 10

Letters repeated:

m = 2 times

i = 2 times

l = 2 times

n = 2 times

2. The number of different ways that the letters of millennium can be arranged is:

We will use the n! or factorial formula, this way:

10!/2! * 2! * 2! * 2!

(10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)/(2 * 1) * (2 * 1) * (2 * 1) * (2 *1)

3'628,800/2*2*2*2 = 3'628,800/16 = 226,800

<u>The correct answer is that the number of different ways that the letters of the word "millennium" can be arranged is 226,800</u>

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Answer:

True both are 28/15

Step-by-step explanation:

Simplify the following:

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Put 3 + 4/5 over the common denominator 5. 3 + 4/5 = (5×3)/5 + 4/5:

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Put 5 + 2/3 - 19/5 over the common denominator 15. 5 + 2/3 - 19/5 = (15×5)/15 + (5×2)/15 + (3 (-19))/15:

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15×5 = 75:

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| 7 | 5

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______________________________________

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15/15 + 13/15

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+ | 1 | 3

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