SOLUTION: How many ways can A 234 BCD be arranged if : The numbers can be repeated but not letters The format should be Letter -3 numbers -3 letters

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Question 1089129: How many ways can A 234 BCD be arranged if :
The numbers can be repeated but not letters
The format should be Letter -3 numbers -3 letters

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If we can only use those numbers and those letters,
there are 3 choices for the first number,
3 choices for the second number,
and 3 choices for the third number.
That makes 3%2A3%2A3=27 possible 3-digit sequences.
The sequence made by the letters (ignoring the fact that numbers are wedges in the middle)
has 4 options as to the first letter,
3 options about what unused letter can be the second letter,
and 2 options as to what of the unused letters to place as the third letter.
That makes 4%21=4%2A3%2A2=24 sequences of 4 letters
made from the letters A, B, C, and D, without repetitions.
If the format must be Letter -3 numbers -3 letters,
there are no other choices, and only
27%2A24=highlight%28648%29 arrangements are possible.