Planting of flower beds

A gardener has to plant three flower beds, each with just one kind of plant. The number of possibilities to plant these 3 flower beds with three different kinds of plants is 133 less than the number of possibilities to plant these beds with at most three different kinds of plants. The number of plants of each kind would be sufficient to plant all three beds. No bed may remain empty. Determine the number of kinds of plants that the gardener has at his disposal.

Final Answer:

a =  
b =  
c =  



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You need to know the following knowledge to solve this word math problem:

combinatoricsbasic operations and conceptsnumbersGrade of the word problem

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