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Counting Combinations: Outfits and Ice Cream Treats

Explore how to calculate outfits and ice cream combinations using basic math! A scarecrow can mix and match his unique clothing items – a red hat, various shirts, and pants – to create 6 unique outfits. Meanwhile, Lisa has 12 possible outfits with her hats, shirts, and pants. Paul can combine ice cream flavors and toppings for a total of 8 delicious combinations. Learn how to find total possibilities by using multiplication for combinations in real-life scenarios!

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Counting Combinations: Outfits and Ice Cream Treats

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  1. Creating Combinations How many can you make? Math: NJASK3 Prep.

  2. A scarecrow has…. • 1 red hat • 1 green shirt • 1 orange shirt • 1 pair of blue pants • 1 pair of purple pants • 1 pair of yellow pants • (1x2)x3 = 6

  3. How many outfits including a hat, pants, shirt (combinations) can he make ? Think… • He will ALWAYS wear a red hat because he only has one hat. • Now lets start with a • Red hat • Green shirt • and just change the pants….

  4. The combinations we can make are….. • Red hat • Green shirt • Blue pants • Red hat • Green shirt • Purple pants • Red hat • Green shirt • Yellow pants

  5. So far we have 3 combos… • Now lets continue with a • Red hat • Orange shirt • and just change the pants….

  6. The combinations we can make are….. • Red hat • Orange shirt • Blue pants • Red hat • Orange shirt • Purple pants • Red hat • Orange shirt • Yellow pants

  7. So all together the scarecrow has 6 combinations of outfits he can wear! • Red hat Green shirt Blue pants 2. Red hat Green shirt Purple pants 3. Red hat Green shirt Yellow pants 4. Red hat Orange shirt Blue pants 5. Red hat Orange shirt Purple pants 6. Red hat Orange shirt Yellow pants

  8. What a lucky scarecrow!

  9. Lisa has • 1 black hat • 1 orange hat • 1 gold shirt • 1 red shirt • 1 blue pants • 1 green pants • 1 tan pants How many outfits can she make? Hats Shirts Pants Black gold green Orange red tan blue (2x2)x3 = 12

  10. Paul can choose • Chocolate ice cream • Vanilla ice cream • Rainbow sprinkles • Chocolate sprinkles • Whipped cream • No whipped Cream How many combinations can he make? Flavors Sprinkles Cream Vanilla Rainbow Yes Chocolate Chocolate No (2x2)x2 = 8

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