Combinations vs Permutations - Understanding Order in Math Sets

Whats the Difference? "My fruit salad is a combination of apples, grapes and bananas" "The combination to the safe was 472"

[object Object],[object Object]

[object Object],[object Object],In Maths we use precise language.. A PERMUTATION IS AN ORDERED COMBINATION.

The ( ) Notation ,[object Object],[object Object],[object Object],n r n r

How to Calculate It. ( ) n r = n! r! (n - r)! ( ) n r = n(n - 1)(n - 2)...(n - r +1) r! Definition! Practical!

You have a go! ,[object Object],[object Object],[object Object],[object Object],[object Object],n 0 n n

Now a twist ,[object Object],[object Object]

[object Object],[object Object],[object Object],13 13 12 2 2 × 1

[object Object],[object Object],The Twin Rule n n r n-r LHS = = RHS = = n! = n! = LHS (n - r)!(n - (n - r))! (n - r)!r!

[object Object],Equations using (n-c-r) ( ) = 1 n 1 ( ) = n(n - 1) = n(n - 1) n 2 2 × 1 2

Solution ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Combinations vs Permutations - Understanding Order in Math Sets

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