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A student records the ordered set {"N", "O", "P", "Q", "R"} as follows: "N" is 1st, "O" is 2nd, "P" is 4th, "Q" is 3rd, and "R" is 5th. Identify the error, give the correct ordinal positions, and explain why the correction is needed.

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At a glance

Question

Type

practice

Style

Topic

Number systems

Exam-style question

Try this first

A student records the ordered set {"N", "O", "P", "Q", "R"} as follows: "N" is 1st, "O" is 2nd, "P" is 4th, "Q" is 3rd, and "R" is 5th. Identify the error, give the correct ordinal positions, and explain why the correction is needed.

Model answer

What a good answer should say

  • The error is that the positions of "P" and "Q" have been exchanged.
  • The correct positions are "N" 1st, "O" 2nd, "P" 3rd, "Q" 4th, and "R" 5th.
  • The positions must follow the order of the objects in the set, so the third object is "P" and the fourth object is "Q".

Explanation

Why this works

Ordinal numbers must match the numerical positions of objects in their stated order. Counting from the beginning of the set shows that "P" comes third and "Q" comes fourth.

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