ritwik06 said:
tiny-tim said:Hi ritwik06!
Hint: if m = n = 2, there are only two possible arrangements … AABB and ABAB, but your formula gives 3!/2! = 3, because it includes ABBA.
Can you see why that's wrong, and how to deal with it?
ritwik06 said:
tiny-tim said:Come on … think!
ABBA is wrong because … ?
Permutation is the number of ways to arrange a set of objects in a particular order, while combination is the number of ways to select 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 being selected. The formula for combinations is nCr = n! / (r!(n-r)!).
Yes, permutation and combination are used in fields such as statistics, genetics, and computer science. For example, in genetics, the number of possible gene combinations from parents to offspring can be calculated using permutations and combinations.
The factorial symbol (!) in permutation and combination represents the product of all the positive integers from 1 to the given number. It is used to calculate the number of possible arrangements or selections in a given scenario.
An example of a real-life situation that involves both permutation and combination is a lottery where a set of numbers is chosen from a larger pool of numbers. The order of the chosen numbers does not matter, so it involves combination. However, the total number of possible combinations is a permutation calculation.