Assessment: Directions: Answer the following applying the formula for the permutation and combination of n objects taken r at a time. Write only the letter of the correct answer on the space provided. What is 10C6? 1. А. 210 В. 120 С. 201 D. 112 2. А. 226 Evaluate 10C5 + 10C1 В. 262 С. 10 D. 252 9C3 3. Evaluate 9C6 A. 72 В. 48 С. 84 D. 27 4. How many ways may 5 students be elected from a club of 20 members? A. 1,860,480 B. 27,907,200 С. 116,280 D. 93,024 How many triangles can be drawn on a plane using 8 non-collinear points? 5. А. 63 В. 36 С. 336 D. 56 3/4
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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