Types of Combination grade 10 quarter 3.pptx

Math lesson in grade 10

1. COMBINATION

2. A combination of a set of distinct objects is an unordered selection of elements from the set

3. COMBINATION WITH REPETITION COMBINATION WITHOUT REPETITION THERE ARE BASICALLY 2 TYPES OF COMBINATION

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 variations will there be? Let's 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. Solution: =           = 35 Given: n=5 r=3

6. CCC CCB CCS CCL CCV BBB BBC BBL BBS BBV LLL LLB LLC LLS LLV SSS SSB SSC SSL SSV VVV VVB VVC VVL VVS BCL BCS BCV BLS BLV BSV CLS CLV VCS VSL

7. EX. How many different 2-letter words can be created from 4 distinct letters such as a, b, c and d? COMBINATION WITH REPETITION:

8. Using the formula Given: n=4 r=2         10 where n is the number of things to choose from, and you choose r of them (Repetition allowed, order doesn't matter)

9. AA AA BB BB CC CC DD DD AB BA AC CA AD DA BC CB BD DB CD DC

10. Using the formula:   COMBINATION WITHOUT REPETITION Given: n=4 r=2         =6 where n is the number of things to choose from, and you choose r of them (No repetition, order doesn't matter)