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How many different combinations can be formed by selecting 3 objects from a group of 4 objects (pencil, eraser, desk, chair) without replacement?

A) 4 combinations
B) 12 combinations
C) 24 combinations
D) 36 combinations

1 Answer

4 votes

Final answer:

The number of different combinations when selecting 3 objects from a group of 4 without replacement is 4 combinations, which is answer A.

Step-by-step explanation:

The question asks for the number of different combinations that can be formed by selecting 3 objects from a group of 4 objects without replacement. To solve this, we use the combinations formula C(n, k) = n! / [k!(n - k)!], where 'n' is the total number of objects and 'k' is the number of objects to choose. Since we are choosing 3 objects (k = 3) from a total of 4 (n = 4), the calculation would be C(4, 3) = 4! / [3!(4 - 3)!] which equals to 4 / 1 = 4 combinations. Therefore, the answer is A) 4 combinations.

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