permutation and combination

11 class math in Hindi language . full chapter read in free . ncert math 11 class.
What is the difference between combination and permutation?
The 

difference between combinations and permutations
 is ordering. Withpermutations we care about the order of the elements, whereas withcombinations we don't. For example, say your locker “combo” is 5432. If you enter 4325 into your locker it won't open because it is a different ordering (akapermutation).


What is permutation and combination with an example?
Definition. Permutations are the different ways in which a collection of items can be arranged. For example: ... The same rule applies while solving any problem inPermutations. The number of ways in which n things can be arranged, taken all at a time, nPn = n!, called 'n factorial.'

What is the relation between permutation and combination?
Alice, Bob and Charlie is the same as Charlie, Bob and Alice. Permutations are for lists (order matters) and combinations are for groups (order doesn't matter). A joke: A "combination lock" should really be called a "permutation lock". The order you put the numbers in matters.

Why are permutations larger than combinations?
In this case, “order doesn't matter,” and the different ways are differentcombinations. ... In the calculation of “how many (permutations),(combinations) can be made from K objects out of N candidates, there will be more permutations than combinations, because each combination can be rearranged to make manypermutations.

How do you calculate a permutation?
To find the factorial of a number, multiply all of the positive integers equal to or less than that number. For example, 7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040. To calculate permutations, we use the equation nPr, where n is the total number of choices and r is the amount of items being selected.

How do you calculate combinations?
Combinations Formula. Looking at the equation to calculate combinations, you can see that factorials are used throughout the formula. Remember, the formula tocalculate combinations is nCr = n! / r! * (n - r)!, where n represents the number of items, and r represents the number of items being chosen at a time.

click on page for zoom in...


































कोई टिप्पणी नहीं:

एक टिप्पणी भेजें