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Circular Permutations
When things are arranged in places along a line with first and last place, they form a linear permutation. So far we have dealt only with linear permutations. When things are arranged in places along a closed curve or a circle, in which any place may be regarded as the first or last..
Circular Permutations
When things are arranged in places along a line with first and last place, they form a linear permutation. So far we have dealt only with linear permutations. When things are arranged in places along a closed curve or a circle, in which any place may be regarded as the first or last place..
Proof:
The number of permutations of n different things taken r at a time is the same as the number of ways of filling n letters and r blank spaces, supposed to be arranged in a straight line as shown above. Each blank is accommodating only one letter. We may fill the first blank with any one..
The line plot shows the number of hours Jim spent watching TV each day..
The line plot shows the number of hours Jim spent watching TV each day in a week. Calculate the number of hours he did not watch TV on Wednesday. => 19 or 5 or 20 or 15..
The line graph displays the weights (kg) of Henry in different years. ..
The line graph displays the weights (kg) of Henry in different years. Calculate the change in his weight from 1994 to 1995. => 1 kg or 3 kg or 4 kg or 0 kg..
Definite Integral Through Area of Triangles
. The union of these rectangles is approximately the region between the curve and the x-axis. When n is larger, the number of rectangles is more, and the approximation is closer. Therefore if we take the limit as n , we obtain that as in equation (1) is the area of the region bounded by the curve y..
Calculation of Standard Deviation
Calculation of Standard Deviation for discrete series - In the discrete series, when deviations are taken from actual mean, the formula ..
Calculation of Standard Deviation for discrete series
In the discrete series, when deviations are taken from actual mean, the formula is: ..
Line
When a line segment is extended indefinitely in both directions it forms line..
Line
When a line segment is extended indefinitely in both directions it forms..
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