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for the bead question no 3 my solution was the smallest number of beads you can have for 2 bracelets is 10 unless you count the fact that with 8,4 in each one there might be a space in the middle might not be depends on the way you draw it. another question i ask myself is what will happen id i have to make three bracelets the smallest is 15 because the numbers 14,13,12 and eleven you can not make three identical bracelets.other Questions:what will happen if you need to have the same amount of beads in 10 bracelets what will be the smallest number?what is the smallest number of beads you can have on one bracelet(with a hole in the middle)?
how many shapes can you make with 1-18,19-24,25-48.49-96,97-etc.?