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HOW MANY DISTINCT ARRANGEMENTS CAN BE MADE WITH THE LETTERS IN THE
WORD CONNECTION?

Sagot :

There are 151200 distinct ways to arrange the letters of the word CONNECTION

How to determine the number of arrangements?

The word is given as:

CONNECTION

In the above word, we have the following parameters:

Total number of characters, n = 10

The repeated letters are:

C's = 2

O's = 2

N's = 3

The number of arrangements of the letters is then calculated as:

Arrangements = n!/(C! * O! * N!)

Substitute the known values in the above equation

Arrangements =  10!/(2! * 2! * 3!)

Evaluate the expression

Arrangements =  151200

Hence, there are 151200 distinct ways to arrange the letters of the word CONNECTION

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