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Q67 (CAPF/2026) Science & Technology › Basic Science (Physics, Chemistry, Biology)

In a matching problem, there are two columns. The first column has 4 statements whereas the second column has 5 statements. Every statement of the first column is to be matched with exactly one statement of the second column. In how many different ways can one student match the two columns if the student has no idea of the correct match?

Result
Your answer: —  ·  Correct: A

Explanation

This problem is a classic application of permutations. In a standard matching test, each statement in the first column is expected to be paired with a unique statement in the second column.

The number of ways to match the columns can be determined by considering the choices available for each statement in the first column:

  • The first statement in Column 1 can be matched with any of the 5 statements in Column 2.
  • The second statement in Column 1 can be matched with any of the remaining 4 statements.
  • The third statement in Column 1 can be matched with any of the remaining 3 statements.
  • The fourth statement in Column 1 can be matched with any of the remaining 2 statements.

Using the fundamental principle of counting, the total number of ways is:

5 × 4 × 3 × 2 = 120

This is mathematically represented as the permutation 5P4 = 5! / (5 − 4)! = 120 / 1 = 120.

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SIMILAR QUESTIONS

IAS · 2004 · Q60 Relevance score: -0.08

Which of the following pairs are correctly matched ?

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1. AD 1767-69 | First Anglo Maratha War
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3. AD 1824-26 | First Anglo-Burmese War
4. AD 1845-46 | Second Sikh War

IAS · 2004 · Q112 Relevance score: -0.33

Which of the following pairs is correctly matched?
Select the correct answer using the codes given below:

Department | Ministry of the Government of India
1. Department of : Women and Child Development | Ministry of Health and Family
2. Department of : Official Language | Ministry of Human Resource
3. Department of : Drinking Water Supply | Ministry of Water Resources

CDS-II · 2006 · Q15 Relevance score: -0.34

Match List I with List II and select the correct answer using the codes given below the lists

(Sun Temple) | (Location)
A. Dakshinaarka | 1. Goalpar a (A ssom)
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B. SuryaPahar | 3. Gaya (Bihar)Temple
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D. Suryanarayana | 5. Modhera (Gujarat)

CDS-I · 2006 · Q107 Relevance score: -0.36

Match the List I and the List II and select the correct answer using the codes given below the lists

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A. Belfast | 1. France
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