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James wishes to plant 27 flowers in a flower bed. He can choose from 17 different geraniums, 9 different roses, and 7 different lilies. He wants to have at least 13 geraniums and an equal number of roses and lilies.

Find the number of different selections of flowers he can make.

Answer :

The number of different selections of flowers he can make is 1053.

To find the number of different selections of flowers he can make the following calculation must be performed:

  • 17 x 13 + 9 x 7 + 7 x 7 = X
  • 17 x 15 + 9 x 6 + 7 x 6 = Y
  • 17 x 17 + 9 x 5 + 7 x 5 = Z
  • X + Y + Z = Total
  • 333 + 351 + 369 = Total
  • 1053 = Total

Therefore, the number of different selections of flowers he can make is 1053.

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