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An ice cream shop sells 6 different flavors, 4 toppings, and 3 types of cones. How many different combinations of three different flavors, one topping, and one cone are possible?

Sagot :

Answer:

360

Step-by-step explanation:

To calculate the number of different combinations of 2 different flavours, 1 topping, and 1 cone, we are going to use the rule of multiplication:

             6          *        5             *           4           *          3             = 360

      1st flavour           2nd flavour  topping              cone

Because first, we have 6 possible options for the flavour, then we only have 5 possible options for the 2nd flavour. Then, we have 4 options for the topping and finally, we have 3 options for the cone.

It means that there are 360 different combinations of two different flavours, one topping, and one cone are possible