• Math

  combinations

  Posted by brajesh on July 17, 2024 at 2:12 pm

  What are combinations?

  Chantel Philip replied 9 months, 1 week ago 2 Members · 1 Reply

  • combinations
• 1 Reply

• 

  Chantel Philip

  Member

  July 19, 2024 at 2:40 pm

  Combinations are a way of counting the number of unique subsets that can be formed from a set of elements. In other words, combinations answer the question “how many different ways can I choose a certain number of items from a larger set of items?”

  The formula for calculating the number of combinations is:

  C(n,r) = n! / (r! * (n-r)!)

  Where:

  n is the total number of items in the set

  r is the number of items being chosen

  ! represents the factorial operation

  For example, if you have a set of 5 items (n=5) and you want to choose 3 of them (r=3), the number of possible combinations would be:

  C(5,3) = 5! / (3! * (5-3)!)

  = 120 / (6 * 2)

  = 10

  So there are 10 unique ways to choose 3 items from a set of 5 items.

  Combinations are commonly used in probability, combinatorics, and various other areas of mathematics and computer science. They are a fundamental concept for understanding how to count the number of possible outcomes in situations involving selection or arrangement of elements.

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