How many ordered pairs can be formed by selecting 2 items from 5 without repetition?

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Prepare for the AMSOC 26-003 Module A Test. Utilize flashcards and multiple choice questions with hints and explanations. Ace your exam!

Multiple Choice

How many ordered pairs can be formed by selecting 2 items from 5 without repetition?

Explanation:
Forming an ordered pair from five items without repetition means each position is distinct and you can’t reuse an item. The first slot has 5 possible choices, and after picking one item, there are 4 remaining choices for the second slot. Multiply: 5 × 4 = 20. If order didn’t matter, you’d have 5 choose 2 = 10; if repetition were allowed, you’d have 5^2 = 25. So the correct total for ordered pairs without repetition is 20.

Forming an ordered pair from five items without repetition means each position is distinct and you can’t reuse an item. The first slot has 5 possible choices, and after picking one item, there are 4 remaining choices for the second slot. Multiply: 5 × 4 = 20. If order didn’t matter, you’d have 5 choose 2 = 10; if repetition were allowed, you’d have 5^2 = 25. So the correct total for ordered pairs without repetition is 20.

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