Consider the 7 letters A, B, D, E, F, G and O. How many 3-letter words can be formed from the 7 letters A, B, D, E, F, G and O. Define a 3 letter word to be an arrangement of 3 letters with the 2nd letter being a vowel and the 1st and 3rd letters being a consonant. (do not worry if the three letters form an English word (e.g. GOG will be considered a 3-letter word)). Choices a) 26 f) 104 Suppose in the next 10 years there is a 70% chance that a casino will be built in downtown Saskatoon, a 60% chance that a hockey arena will be built in downtown Saskatoon and a 55% chance that both will be built in downtown b) 48 c) 53 d) 63 i) 143 e) 85 j) 162 g) 120 h) 140 Saskatoon. What is the probability that either a casino or a hockey will be built in saskatoon in the next 10 years? If one knows that a casino will be built in Saskatoon in the next 10 years what is probability that a hockey arena wil be built in saskatoon in the next 10 years. Choices a) 0.063 f) 0.709 b) 0.289 g) 0.743 c) 0.370 h) 0.750 d) 0.396 i) 0.764 e) 0.489 j) 0.786
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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