**Question 10**Compute \( \binom{5}{2} \)**Explanation:**The expression \( \binom{5}{2} \) represents a binomial coefficient, also known as "5 choose 2," which is used in combinatorics to determine the number of ways to choose 2 elements from a set of 5 elements without regard to the order of selection.The formula to compute \( \binom{n}{k} \) is:\[\binom{n}{k} = \frac{n!}{k!(n-k)!}\]In this case:- \( n = 5 \)- \( k = 2 \)Therefore:\[\binom{5}{2} = \frac{5!}{2!(5-2)!} = \frac{5 \times 4 \times 3!}{2 \times 1 \times 3!} = \frac{20}{2} = 10\]So, there are 10 ways to choose 2 elements from a set of 5 elements.

Name: **Question 10**Compute \( \binom{5}{2} \)**Explanation:**The expressi
Uploaded: 2024-03-20T07:06:41.000Z
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Description: **Question 10**Compute \( \binom{5}{2} \)**Explanation:**The expression \( \binom{5}{2} \) represents a binomial coefficient, also known as "5 choose 2," which is used in combinatorics to determine the number of ways to choose 2 elements from a set