You have recently learned to knit, and all you know how to make is rectangles. You are going to knit a rectangle and have enough yarn for 1,000 stitches. The rectangle will have C stitches in a row and D stitches in a column. If the number of stitches in a row is no less than 8 and no more than 125, how many different combinations of rectangular shapes are possible?  Choose the correct option:
A) 4  B) 5  C) 6  D) 8  E) 10
firstly factors of 1,000 = 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1,000   the question says each row will have stitches no less than 4 and no more than 35,   therefore, we should be interested in the factors between 8 and 125 (inclusive)   8(in each row) * 125(number of columns) =1,000, similarly   10 * 100   20 * 50   25 * 40   40 * 25   50 * 20   100 * 10   125 * 8   total possibilities = 8   option 8
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You have recently learned to knit, and all you know how to make is rectangles. You are going to knit a rectangle and have enough yarn for 1,000 stitches. The rectangle will have C stitches in a row and D stitches in a column. If the number of stitches in a row is no less than 8 and no more than 125, how many different combinations of rectangular shapes are possible?