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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:

W (0 , 4b)   X ( 2a , 0)   Y (0 , -4b)   Z (-2a , 0)

M (midpoint of WX) : ( (0 + 2a)/2 , (4b + 0)/2)  i. e. (a , 2b)

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P (midpoint of ZW) : ( (0 - 2a)/2 , (4b + 0)/2)  i. e. (- a , 2b)

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OP: length = 2b + 2b = 4b     OP segment perpendicular to x axis (slope undefined)

PM: length = a + a = 2a     NO segment parallel to x axis (slope = 0)

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