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# Combination

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### Combination

1. 1. COMBINATION
2. 2. A combination of a set of distinct objects is anunordered selection of elements from the set
3. 3. THERE ARE BASICALLY 2 TYPES OF COMBINATION COMBINATION WITH REPETITION COMBINATION WITHOUT REPETITION
4. 4. Ex.Let us say there are five flavors of ice-cream: banana, chocolate, lemon,strawberry and vanilla. You can have three scoops. How many variationswill there be?Lets use letters for the flavors: {b, c, l, s, v} Problem: How many 3-scoop ice-cream set will be created out of five flavors?
5. 5. Solution:Given:n=5r=3 = 35
6. 6. CCC SSS BCL CCB SSB BCS CCS SSC BCVBBB CCL LLL SSL VVV BLS BSVBBC CCV LLB SSV VVB BLV CLSBBL LLC VVC CLVBBS LLS VVL VCSBBV LLV VVS VSL
7. 7. COMBINATION WITH REPETITION:EX.How many different 2-letterwords can be created from 4distinct letters such as a, b, c andd?
8. 8. where n is the number of things to choose from, and you choose r of them (Repetition allowed, order doesnt matter)10
9. 9. AA AABB BBCC CCDD DDAB BAAC CAAD DABC CBBD DBCD DC
10. 10. COMBINATION WITHOUT REPETITION where n is the number of things to choose from, and you choose r of themGiven: n=4 (No repetition, order doesnt r=2 matter) =6