SOLUTION: How many four-digit counting numbers can be made from the digits 1,2,3, and 4 if 2 and 3 must be next to each other and if repetition is not permitted?

Question 67371This question is from textbook Advanced mathematics
: How many four-digit counting numbers can be made from the digits 1,2,3, and 4 if 2 and 3 must be next to each other and if repetition is not permitted? This question is from textbook Advanced mathematics

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How many four-digit counting numbers can be made from the digits 1,2,3, and 4 if 2 and 3 must be next to each other and if repetition is not permitted?
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If 2 and 3 must be next to each other they act like one letter but
their order may be 2-3 or 3-2 i.e. 2! ways
Acting like one letter you get 3! arrangements; switching the order
of the 23 you get a total of 3!(2!)=12 acceptable patterns
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Cheers,
Stan H.

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