Figure I below shows a uniform lanmina in the form of right angled triangle OAB with right angle at O, where OA = 4a and OB = 6a The portion OPQ which is a sector ofa cirele of radius a, is cut off from the triangle. A За Figure 1 P B 5a (i) Show by integration that the centre of gravity of the uniform lamina in the form of the sector OP) is at 4a from the bounding radii. 37 distance The sector OPQ is removed from the lamina. (ii) Find the centroid of the remaining lamina from OA and from OB .
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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Answer Q5(ii)
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