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A combination of a set of objects is defined by the order of the objects?
False.
How do you write a C program to print all combinations of a 3-digit number?
Mathematically-speaking there is only one combination of a 3-digit number. When dealing with a combination of digits, the order of those digits does not matter, thus 123 and 321 are the exact same combination. If the order of the digits is important then it is a permutation, not a combination. That is, 123 and 321 are completely different permutations of the same combination of digits. The confusion is understandable given that we commonly refer to a combination lock instead of a permutation lock. Mathematically speaking, a combination lock that unlocks with the code 123 would also unlock with the codes 132, 213, 231, 312 and 321, because all six permutations of the digits 1, 2 and 3 are in fact the same combination. Some combination locks really do work this way, however the vast majority are actually permutation locks; we call them combination locks simply because we don't normally use the term "combination" in the much stricter mathematical sense. To restate the question: How do you write a C program to print all permutations of a 3-digit number? A 3-digit number has 6 permutations, thus we can print all six by treating the number as an array, and printing all 6 permutations of the array: void print_permutations (int num) { char set[3]; int index; if (num<100 num > 999) return; // not a 3-digit number index = 0; while (num>0) { set[index] = num % 10; // least-significant digit num /= 10; // shift all digits one position to the right } // sort the array in ascending order if (set[0]>set[1]) set[0]^=set[1]^=set[0]^=set[1]; if (set[1]>set[2]) set[1]^=set[2]^=set[1]^=set[2]; if (set[0]>set[1]) set[0]^=set[1]^=set[0]^=set[1]; // print the permutations printf ("%d%d%d\n", set[0], set[1], set[2]); printf ("%d%d%d\n", set[0], set[2], set[1]); printf ("%d%d%d\n", set[1], set[0], set[2]); printf ("%d%d%d\n", set[1], set[2], set[0]); printf ("%d%d%d\n", set[2], set[0], set[1]); printf ("%d%d%d\n", set[2], set[1], set[0]); } The problem with this is when the 3-digit number contains duplicate digits. This would treat 100 as if it had 6 permutations when it really only has 3 {100, 010 and 001}, while 111 only has one permutation {111}. These must be treated as being special cases: void print_permutations (int num) { char set[3]; int index; if (num<100 num > 999) return; // not a 3-digit number index = 0; while (num>0) { set[index] = num % 10; // least-significant digit num /= 10; // shift all digits one position to the right } // sort the array in ascending order if (set[0]>set[1]) set[0]^=set[1]^=set[0]^=set[1]; // move larger of 1st and 2nd digit to middle if (set[1]>set[2]) set[1]^=set[2]^=set[1]^=set[2]; // move larger of 2nd and 3rd digit to end if (set[0]>set[1]) set[0]^=set[1]^=set[0]^=set[1]; // move larger of 1st and 2nd digit to middle // print the permutations (handle special cases where digits are duplicated) if (set[0]==set[1] && set[0]==set[2]]) { // same three digits (one permutation) printf ("%d%d%d\n", set[0], set[1], set[2]); } else if (set[0]==set[1]) { // first two digits are the same (three permutations) printf ("%d%d%d\n", set[0], set[1], set[2]); // same as 1, 0, 2 printf ("%d%d%d\n", set[0], set[2], set[1]); // same as 1, 2, 0 printf ("%d%d%d\n", set[2], set[0], set[1]); // same as 2, 1, 0 } else if (set[1]==set[2]) { // last two digits are the same (three permutations) printf ("%d%d%d\n", set[0], set[1], set[2]); // same as 0, 2, 1 printf ("%d%d%d\n", set[1], set[0], set[2]); // same as 2, 0, 1 printf ("%d%d%d\n", set[2], set[1], set[0]); // same as 1, 2, 0 } else { // all three digits are unique (6 permutations) printf ("%d%d%d\n", set[0], set[1], set[2]); printf ("%d%d%d\n", set[0], set[2], set[1]); printf ("%d%d%d\n", set[1], set[0], set[2]); printf ("%d%d%d\n", set[1], set[2], set[0]); printf ("%d%d%d\n", set[2], set[0], set[1]); printf ("%d%d%d\n", set[2], set[1], set[0]); } }
What is the importance of frequency transformation in filter design?
Importance of frequency transformation in filter design are the steerable filters, synthesized as a linear combination of a set of basis filters. The frequency transformation technique is a classical.
What is the past tense of machine set up?
The past tense of the verb 'set' is also 'set'.
Is every subset of a finite set is a finite?
prove that every subset of a finite set is a finite set?
How do you know my combination to unlock sound?
You need to remember what you set as the combination or ask the person who originally set the combination.
Meaning of combination?
In mathematics a combination is a subset of a given set. The order in which the elements of the set are listed is irrelevant.
What is the purpose of a combination set?
eder
Can you change the combination to a locked combination lock?
First of all, you need to unlock it. If you don't know the current combination: it can't usually be changed. Then, you need to set your new combination and lock it. It should then be set.
Where can someone get a combination wrench set?
You can purchase a combination wrench set online from stores such as Sears. Alternatively, you can purchase this item from retailers such as Amazon and Grainger.
How do you complete the moshling set on moshi monsters?
What you need to do is create the right combination of flowers, There are only for moshlings in a set. If you are unsure of how to complete one set ask someone who has already got the moshling that you are looking for, for the combination!!
How do you set lock on Pierre Cardin suitcase?
To set the lock on a Pierre Cardin suitcase, first, locate the combination lock mechanism. Open the suitcase and set the dials to the default combination, usually found in the user manual. While the suitcase is open, press the reset button or lever, depending on the model, and then set your desired combination by turning the dials. Finally, release the reset button, close the suitcase, and test the new combination to ensure it's set correctly.
What does a union b always equal to?
the combination of all elements of either set into the new combined set.
How do you set up a combination lock for a diplomat suitecase?
fisrt check the front side of laguage and set the number
How do you set a TSA 007 lock?
To set a TSA 007 lock, first make sure the lock is open. Then, locate the reset button on the bottom of the lock. Press and hold the reset button while you set your desired combination. Release the reset button and your new combination should be set.
How can I reset the Sure Lock TSA007 combination lock?
To reset the Sure Lock TSA007 combination lock, follow these steps: Set the dials to the current combination. Push and hold the reset button on the bottom of the lock. While holding the reset button, set your new combination. Release the reset button to save the new combination.
How do you reset the TSA lock on your luggage?
To reset the TSA lock on your luggage, first make sure the lock is set to the default combination. Then, use a pen or similar tool to press and hold the reset button on the lock. While holding the button, set your desired combination. Release the reset button and your new combination should be set.
