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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 also to have the
same number of roses and lilies. Find the number
of different selections of flowers he can make

Sagot :

Francocanacariidn

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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