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In: Computer Science

A newly built old age home has 50 townhouses. Residents may only plant clivias, rose bushes...

A newly built old age home has 50 townhouses. Residents may only plant clivias, rose bushes and lavenders in their gardens. Of the 50 gardens 20 grow clivias, 22 grow roses, and 24 grow lavenders. (Residents do not necessarily plant only one of the kinds of plants.) Furthermore, some gardens grow the following: 6 grow clivias and rose bushes 8 grow clivias and lavenders, (Residents do not necessarily plant only two of the kinds of plants.) 4 grow clivias, rose bushes and lavenders. How many gardens have rose bushes and lavenders, but no clivias?

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