How many combinations of 07 numbers I can make of between 01 to 25 numbers 

To determine how many different combinations of 7 numbers can be chosen from a set of 25 numbers (ranging from 01 to 25), we use the combination formula:

\[
\text{Combination formula:} \quad C(n, r) = \frac{n!}{r!(n - r)!}
\]

Where:
- \( n \) is the total number of items (in this case, 25),
- \( r \) is the number of items to choose (in this case, 7),
- \( ! \) denotes factorial, the product of all positive integers up to that number.

So, we need to calculate:

\[
C(25, 7) = \frac{25!}{7!(25 - 7)!} = \frac{25!}{7!18!}
\]

Let me calculate this for you.The number of combinations of 7 numbers that can be chosen from a set of 25 numbers is **480,700**.

Would you like more details or have any other questions? Here are 5 related questions:

1. What is the difference between combinations and permutations?
2. How would the result change if we were choosing 6 numbers instead of 7?
3. Can you explain the concept of factorial in more depth?
4. How is the combination formula applied in probability problems?
5. What if the numbers could repeat? How would the calculation change?

**Tip:** Combinations are used when the order of selection doesn't matter, while permutations are for when the order does matter.

How many combinations of 07 numbers I can make of between 01 to 25 numbers?

Discover how to calculate the number of combinations of 7 numbers chosen from a set of 25 using the combination formula. Learn key concepts in combinatorics and factorials. Suitable for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation