Answer :
The total number of different rainbow splits an ice cream store can advertise as per the 30 different flavors equals 24,360.
Total number of different flavors present in the ice cream store is equal to 30
Number of different scoop of ice cream used to make rainbow banana-boat-split is equal to 3
Total number of different rainbow splits ice cream store can advertise
= ³⁰P₃
= ( 30! ) / ( 30 - 3 )!
= 30 × 29 × 28 × 27! / 27!
= 30 × 29 × 28
= 24, 360
Therefore, the number of different rainbow splits can be advertised by ice cream store is equal to 24,360.
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