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We have 4 identical yellow balls, and 7 identical purple balls. How many distinct patterns of yellow and purple balls can we create by arranging

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We have 4 identical yellow balls, and 7 identical purple balls. How many distinct patterns of yellow and purple balls can we create by arranging them from left to right, if each yellow ball must be immediately followed by one purple ball? Please show all working out. (Keep in mind that not all the balls have to be used)

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