- #1
Roni1985
- 201
- 0
Homework Statement
P(4,2)+C(5,3)
Homework Equations
The Attempt at a Solution
I think I'm missing something, P(4,2)= 4P2 and C(5,3)=5C3 ?
Roni1985 said:P(4,2)= 4P2 and C(5,3)=5C3 ?
tiny-tim said:Hi Roni1985!
I assume so.
Permutations refer to the arrangement of a set of objects in a specific order, while combinations refer to the selection of a subset of objects from a larger set without regard to order.
The formula for permutations is nPr = n!/(n-r)!, where n is the total number of objects and r is the number of objects in each arrangement. The formula for combinations is nCr = n!/(r!(n-r)!), where n is the total number of objects and r is the number of objects in each combination.
Yes, both permutations and combinations can be used to solve real-world problems such as calculating the number of possible outcomes in a game or determining the number of different ways to arrange a group of people in a line.
In permutations and combinations, with replacement means that an object can be chosen more than once, while without replacement means that an object can only be chosen once.
Permutations should be used when the order of objects matters, such as arranging letters in a word. Combinations should be used when the order of objects does not matter, such as choosing a group of people for a committee.