A trade agreement was signed between 4 countries. If each country can trade with

₹0.0

📥 Instant PDF Download
♾ Lifetime Access
🛡 Secure & Original Content

What’s inside this PDF?

Question: A trade agreement was signed between 4 countries. If each country can trade with every other country, how many unique trade pairs can be formed? (2020)

Options:

Correct Answer: 6

Exam Year: 2020

Solution:

Unique trade pairs = C(4, 2) = 4! / (2!(4-2)!) = 6.

A trade agreement was signed between 4 countries. If each country can trade with

Practice Questions

A trade agreement was signed between 4 countries. If each country can trade with every other country, how many unique trade pairs can be formed? (2020)

Questions & Step-by-Step Solutions

A trade agreement was signed between 4 countries. If each country can trade with every other country, how many unique trade pairs can be formed? (2020)

Step 1: Understand that we have 4 countries that can trade with each other.
Step 2: Each unique trade pair consists of 2 countries trading together.
Step 3: We need to find out how many different pairs of 2 countries can be formed from the 4 countries.
Step 4: Use the combination formula C(n, r) where n is the total number of countries (4) and r is the number of countries in each pair (2).
Step 5: The combination formula is C(n, r) = n! / (r!(n-r)!). Here, n = 4 and r = 2.
Step 6: Calculate C(4, 2) = 4! / (2!(4-2)!) = 4! / (2! * 2!)
Step 7: Calculate 4! = 4 x 3 x 2 x 1 = 24.
Step 8: Calculate 2! = 2 x 1 = 2.
Step 9: Now substitute back: C(4, 2) = 24 / (2 * 2) = 24 / 4 = 6.
Step 10: Therefore, there are 6 unique trade pairs that can be formed.

Combinatorics – The question tests the understanding of combinations, specifically how to calculate the number of unique pairs that can be formed from a set of items.
Binomial Coefficient – The use of the binomial coefficient C(n, k) to determine the number of ways to choose k items from n without regard to the order of selection.

A trade agreement was signed between 4 countries. If each country can trade with

What’s inside this PDF?

A trade agreement was signed between 4 countries. If each country can trade with

Practice Questions

Questions & Step-by-Step Solutions

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?