John, Paul, George and Richard decide to start a new business. The four partners agree that any profit or loss made by the new business will be shared in the same ratio as their contributions to the start-up capital of the business. Their respective contributions are indicated in the figure below. In the fourth worksheet of your Excel answer book provided, create the following: A в D E H John Paul George Richard Contribution to start-up capital (in rands) = 80000 60000 40000 20000 3 4 Contributions as ratio = 5 Share of first year's profit of R50 000 = 7 8 Share of second year's profit = 54000 Second year's profit = Q.4.1 Express the respective contributions of the four partners as a ratio in cells B4 to E4. Q.4.2 Determine each partner's share of the first year's profit of R50 000 by entering a suitable function/formula in cells B6 to E6. 1. 23

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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.