ch elf wears a different color (green, yellow, blue, red, or orange) and each builds a different number of toys. Use the poem below to decipher which elf wore what color and made how many of what toy!! ---------------------------------------------------- The Boss's pac
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
5 different elves (Sue, Marcia, Cher, Jane, and Johnny) each make a different toy (ball, car, top, sled, or train). Each elf wears a different color (green, yellow, blue, red, or orange) and each builds a different number of toys.
Use the poem below to decipher which elf wore what color and made how many of what toy!! ----------------------------------------------------
The Boss's pack held thirty toys
Made by his elfin crew;
And though none made the same amount,
Each elf made more than two.
The elf named Cher made one more toy
Than the elf who dressed in reds,
But Cher made one less holiday toy
Than the elf who made the sleds.
Spry Johnny elf made racing cars;
Five toys were made by Jane.
The elf who dressed in yellow suits
Made each and every train.
The elf who always dressed in green
Made one-third as many as Sue.
Cute Marcia elf was dressed in orange,
And one elf dressed in blue.
The elf who made the spinning tops
Made the most toys of them all.
Another perky, smiling elf
Made each and every ball.
The Boss's pack held 30 gifts
All tagged for girls and boys.
From the clues that you've been given,
Now guess who made what toys.
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