Meng buys a packet of nine different bracelets. She takes two for herself and then shares the

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Meng buys a packet of nine different bracelets. She takes two for herself and then shares the remainder at random between her two best friends.

a. How many ways are there for Meng to select two bracelets?

b. If the two friends receive at least one bracelet each, find the probability that one friend receives exactly one bracelet more than the other.

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