A gift shop has 7 types of souvenirs. A tourist wants to buy 5 souvenirs (any combination of types). The number of different combinations of souvenirs the tourist can buy is ______.
Answer & Analysis
Analysis
Question Analysis
This question involves the application of the combination formula for repetitive selection.
The main focus is on correctly substituting the values of (number of souvenir types) and (number of souvenirs to buy) into the formula and performing the necessary factorial calculations.
Key Concept Explanation
The formula is used when choosing items from types of items with repetition allowed, and the order of selection doesn't matter.
It accounts for scenarios where the tourist can purchase multiple souvenirs of the same type.
Step - by - Step Solution
Calculate the factorials:
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