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The answer is 20.
This can be calculated using the combination formula, which is nCr = n! / r!(n-r)!, where n is the total number of flowers (6) and r is the number of flowers to be selected (3).
6C3 = 6! / 3!(6-3)! = 20
Therefore, there are 20 different ways to display the flowers for dinner on the dining room table.