The combination also is possible with repetition and

The combination also is possible with repetition and without repetition When the order is not When the order is important is called PERMUTATION COMBINATION We must remember, when we That variation is of two kinds: change the order of the when the order is important and elements, we are used the when is not important. variation Normally, we use the word combination unknowing the We are going to study meaning of the different cases and their corresponding formulas to calculate The permutation is possible with repetition and without repetition

A Permutation is an ordered variation. There are basically two types of permutation: Repetition is Allowed: such as the lock above. It could be "333". No Repetition: for example the first three people in a running race. You can't be first and second. PERMUTATIONS WITH REPETITION How many Those are the number can you When you have n things to Suppose you have a padlock for your locker most easier to choose? choose and you choose r of And how many calculate them, the permutations are number do you need? n = 10 r=3 = 1000 r Applying n the formula, we have

PERMUTATIONS WITHOUT Where n is the number of things to choose from, and you REPETITION choose r of them (No repetition, order matters), the number For of permutations are Mathematical n = 10 example ly r=2 How many ways can first and second place be awarded to 10 people? = = = 90

A Combination is a no ordered variation. There also two types of combinations (remember the order does not matter now): Repetition is Allowed: such as coins in your pocket (5, 5, 5, 10) No Repetition: such as lottery numbers (2, 14, 15, 27, 30, 33) COMBINATIONS WITH REPETITION Where n is the number of things Let For us say there are five flavors of icechoose from, and you cream: banana, lemon, strawberry, example to chocolate, choose r of them and vanilla. You can have three scoops. How (Repetition allowed, order doesn't many variations will there be? matter), the combinations are How many number can you = choose? And how many number do you need? = n=5 r=3 = 35

COMBINATIONS WITHOUT REPETITION where n is the number of things to choose from, and you choose r of them (No repetition, order doesn't matter), the combinations are n = 16 r=3 = For example How many ways can you put the pool ball in the game of billiard? =560