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A gardening center has 6 varieties of flowers and 4 varieties of pots available. Customers can create custom flower arrangements by selecting any 3 varieties of flowers and then choosing a pot for their arrangement. How many different combinations of flower arrangements are possible (repeats are allowed)



Answer :

Answer:

there are 56 different combinations of flower arrangements possible when selecting 3 varieties of flowers out of 6 available varieties with repeats allowed.

Step-by-step explanation:

To find the total number of different combinations of flower arrangements, we can use the concept of combinations with repetition.

For each flower arrangement, a customer selects 3 varieties of flowers out of 6 available varieties. Since repeats are allowed, this is equivalent to selecting 3 flowers from a set of 6 varieties with replacement. This can be calculated using the formula for combinations with repetition:

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