A fruit basket contains 7 different kinds of fruits. A person wants to pick 2 fruits from the basket without repetition. How many different combinations of fruits can the person pick?
Options
A
21
B
42
C
14
D
7
Answer & Analysis
Answer
A
Analysis
Question Analysis
This question is about using the combination formula for non - repetitive selection.
The main focus is on correctly identifying the values of (total number of fruit kinds) and (number of fruits to be picked) and then applying the formula to find the number of combinations.
Key Concept Explanation
The formula is applicable when we want to choose items from distinct items without repetition, and the order of selection is irrelevant. Here, and .
Step - by - Step Solution
Calculate the factorials:
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