How many arrangements of the word ACTIVE are there if C&E must be always together? ?

Question

How many arrangements of the word ACTIVE are there if C&E must be always together? ?

Dixon · Answer

Assuming you mean arrangements of the letters.
If C and E are together we initially treat them as one unit.
Then there are 5! arrangements.
But since C and E can be in 2 arrangements themselves, we get
2(5!)

How many arrangements of the word ACTIVE are there if C&E must be always together? ?

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