Playing guitar!
Linda, a new(and very young) guitar student in class, asked the teacher why she has to play the given melody(a sequence of single tones) of 10 tones in that specific way the teacher demonstrated and why not any other.
"Some combinations are much easier to finger. Remember that in this one you use one of your four playing fingers on each note" - responded the teacher.
"If I would like to try all other combinations, how many would there be ?"
Help Linda answer her question.
The answer is 1048575.
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1 solution
Each note/tone can be played by any of the 4 fingers,thus giving you 4 choices per note.Thus for 10 notes you have: (4^10 - 1)=1048575 combinations.We subtract one note because the question asks for 'all other combinations'.