Focus group
-1, 1 is a set of numbers that is closed under division. The rule is if you divide among you end up with a quotient that is in the set. 1/-1 or -1/1 = -1 (-1 is in the set)
That depends on that is in your set. ( However, 1/3 is always less than 1/2. )
There is no special name for this set, so just call it "the set of prime numbers from 1-100".There is no special name for this set, so just call it "the set of prime numbers from 1-100".There is no special name for this set, so just call it "the set of prime numbers from 1-100".There is no special name for this set, so just call it "the set of prime numbers from 1-100".
Two sets are said to be the equivalent if a (1-1)correspondence can be established between them.If set A is equivalent to set B,then we write A is (1-1)correspondence to set B and It shows the quantities of elements.
The powerset for the set {0, 1} is the set containing: Φ, {0}, {1}, {0, 1}.
The minimum is the smallest value (or number) in a set of data.* * * * *Nearly correct. The minimum need not be inthe set. For example, consider the set {1, 1/2, 1/4, 1/8, ... , 1/2n, ...}. The minimum is 0, but there is no element in the set with that value: the minimum is outside the set.
The set of integers.
No - a normal human will have 1 set of chromosomes from their father and 1 set from their mother.
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]); } }
A trapezoid has 1 set of parallel lines
No - a normal human will have 1 set of chromosomes from their father and 1 set from their mother.
Set of integers.