Question 1189299
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27 plants total, with the number of geraniums at least 13 and at most 17, and equal numbers of roses and lilies, the choices are<br>
13 geraniums, 7 roses, 7 lilies
15 geraniums, 6 roses, 6 lilies
17 geraniums, 5 roses, 5 lilies<br>
With one possible interpretation of the phrase "number of different selections of flowers", the answer is then "3".<br>
But that is probably not the intended meaning. Presumably the desired answer is<br>
C(17,13)*C(9,7)*C(7,7) + C(17,15)*C(9,6)*C(7,6) + C(17,17)*C(9,5)*C(7,5)<br>
You can do the calculations....<br>