An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

Determine all possible pairs of t-shirts Dayshawn can choose.
Recognize that the order of selection does not matter, so we are dealing with combinations.
List all unique pairs: AB, AC, AD, BC, BD, CD.
The correct sample space is: { A B , A C , A D , BC , B D , C D } ​ .

Explanation

Understand the problem Dayshawn has four t-shirts labeled A, B, C, and D. He needs to choose two of them for a weekend trip. We need to determine the sample space, which represents all possible combinations of two t-shirts he can choose.

Identify combinations Since the order in which Dayshawn chooses the t-shirts doesn't matter (choosing A then B is the same as choosing B then A), we are looking for combinations, not permutations. This means we need to list all unique pairs of t-shirts without considering the order.

List all possible pairs Let's list all the possible pairs:



A and B (AB)
A and C (AC)
A and D (AD)
B and C (BC)
B and D (BD)
C and D (CD) So, the sample space S is {AB, AC, AD, BC, BD, CD}.


Select the correct sample space Comparing our generated sample space with the given options, we find that the correct choice is: S = { A B , A C , A D , BC , B D , C D }

Final Answer The sample space S representing all possible combinations of two t-shirts chosen from four is { A B , A C , A D , BC , B D , C D } .


Examples
Suppose you're organizing a small tournament where each team consists of two players chosen from four available players. The sample space helps you list all possible team combinations to ensure every possible team gets a fair chance to participate.

Answered by GinnyAnswer | 2025-07-03

Approximately 2.81 x 10^21 electrons flow through the device delivering a current of 15.0 A for 30 seconds. This is calculated by first determining the total charge delivered and then dividing by the charge of a single electron. The total charge is 450 coulombs.
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Answered by Anonymous | 2025-07-04