4 or 24
There are 4 characters.They can be arranged within themselves so they can be arranged in 24 ways.[Note : The formula for this is n! if there are n characters.]
Since there are 4 letters, they can be arranged 4! ways (4*3*2*1) or 24 ways.
If no digit can be repeated then there are 5 combinations, abcd, abce, abde, acde and bcde. If you regard abdc as different from abcd then each of the 5 basic sets could be arranged 24 ways and the total would be 120 combinations.
abcd
10
Six ways. Starting clockwise from A, they are: ABCD, ABDC, ACBD, ACDB, ADBC and ADCB. Any other way is simply a rotation of one of these.
Only one; A. At least concerning this one trait.
To find the perimeter of polygon abcd, we need to know the lengths of its sides or the ratio of similarity between the two polygons. Since polygons abcd and efgh are similar, their perimeters are proportional to the corresponding sides. If you provide the perimeter of efgh and the ratio of similarity, I can help you calculate the perimeter of abcd.
4
Without repeats, 24. With repeats, 256.
The polynomial ( abcd e - h^2 ) contains two terms: ( abcd e ) and ( -h^2 ). Each term is separated by the subtraction operator, indicating distinct components of the polynomial. Thus, the total number of terms is 2.
This depends on if you want repeats or not (or the state you are in) with repeats it is: 26x26x26x10x10= 1,757,600 without repeats it is: 26x25x24x10x9=1,560,000