the duck has 3 feet, and when the duck goes to the party he wears shoes and socks for all three legs, how many variations can a duck do with a note before using duck shoes wearing socks
Answers
The variations that a duck can do with a note before using duck shoes using socks are 36 ways
DISCUSSION :
Before we answer this problem there is a rule of enumeration that must be understood first.
Suppose that Anto has 3 sets of clothes and 6 sets of pants. If you are asked to find, there are several ways that you might dress Anto, of course there are 3 x 6 = 18 ways.
The logic for every 1 set of clothes can be paired with 6 sets of pants, so that if there are 3 sets of clothes it means you can attach as much as 3 x 6 = 18 ways.
Permutation
Permutation is the process of preparing many elements. In permutations, the order of elements is certainly noticed. The number of preparation or permutation methods can use the following formula :
ⁿPₐ = n! / (n-a)!
with:
n = the total number of elements
a = number of elements arranged
Combination (Selection)
Combination is the process of selecting from many elements. In combination, the order of elements does not pay attention.
The number of methods of selection or combination can use the following formula:
ⁿCₐ = n! / [(n-a)! a! ]
with:
n = the total number of elements
a = number of elements selected
a = number of elements selected Now after we understand the basic principles of this calculation, we can then begin to solve the problem above.
If the 3-foot duck wants to wear socks and shoes, then many ways can be done as follows.
At first we calculated a lot of ways that can be done to wear socks with the assumption that the three socks are different colors
Many Ways to Use Socks = K = 3! = 3 × 2 × 1 = 6 ways
Then we count a lot of ways that can be done to use the shoes with the assumption that the three shoes are different colors
Many Ways to Wear Shoes = S = 3! = 3 × 2 × 1 = 6 ways
Finally, you can calculate the total variation on how to wear shoes and socks:
Total Variation = K × S
Total Variation = 6 × 6
Total Variation = 36 ways
Answer:
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