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Effectus [21]
3 years ago
7

How many ways can the letters of "collge" be arranged​

Mathematics
2 answers:
ELEN [110]3 years ago
6 0

COLLEGE is a 7 letter word.

here E and L will appear for two times so we will get denominator (2!*2!)

so,COLLEGE can be arranged in 7!/(1!*1!*2!*2!*1!)=1260

It is difficult to calculate the case when vowels don't come together so we will be going to calculate the opposite case when vowels do come together.

CLLG(OEE) =4+1 consider OEE as one letteer.

when vowels come together =(5!/2!)*(3!/2!)=180 (3!/2! is the arrangement of vowels total 3 vowels 3! and E repeats two times.)

vowels don't come together =1260-180=1080.

Hope this helps

salantis [7]3 years ago
4 0

Answer:

COLLEGE is a 7 letter word.

here E and L will appear for two times so we will get denominator (2!*2!)

so,COLLEGE can be arranged in 7!/(1!*1!*2!*2!*1!)=1260

It is difficult to calculate the case when vowels don't come together so we will be going to calculate the opposite case when vowels do come together.

CLLG(OEE) =4+1 consider OEE as one letteer.

when vowels come together =(5!/2!)*(3!/2!)=180 (3!/2! is the arrangement of vowels total 3 vowels 3! and E repeats two times.)

vowels don't come together =1260-180=1080.

Step-by-step explanation:

hope this helps <3 <3 <3 Aaliyah

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Step-by-step explanation:

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3 years ago
Read 2 more answers
Little Melinda has nickels and quarters in her bank. She has two
SCORPION-xisa [38]

A) N +2 = Q which equals

A) N -Q = -2

B) .05N +.25Q = 3.50  multiplying A) by .25

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.30N = 3

Nickels = 10 Quarters = 12

*************DOUBLE CHECK ***************

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7 0
3 years ago
A florist can make a grand arrangement in 18 minutes or a simple arrangement in 10 minutes. The florist makes at least twice as
Colt1911 [192]

Answer:

See explanation

Step-by-step explanation:

Let x be the number of simple arrangements and y be the number of grand arrangements.

1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so

x\ge 2y

2. A florist can make a grand arrangement in 18 minutes =\dfrac{3}{10} hour, then he can make y arrangements in \dfrac{3}{10}y hours.

A florist can make  a simple arrangement in 10 minutes =\dfrac{1}{6} hour, so he can make x arrangements in \dfrac{1}{6}x hours.

The florist can work only 40 hours per week, then

\dfrac{3}{10}y+\dfrac{1}{6}x\le 40

3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.

The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.

Total profit: $(10x+25y)

Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines x=2y and \dfrac{3}{10}y+\dfrac{1}{6}x=40

But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is

\$(10\cdot 126+25\cdot 63)=\$2,835

8 0
3 years ago
A camera has a list price of $579.99 before tax. If the sales tax rate is 7.25%, find the total cost of the camera with sales ta
dezoksy [38]

Answer:

519.99(.0825) = 42.899

519.99 + 42.899 = $562.89

Step-by-step explanation:

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3 years ago
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