Six students A, B, C, D, E, F are to give speeches to the class. The order of speaking is determined by random selection. Comput the probability that A) E will speak first B) that C will speak fifth and B will speak last C) that the students will speak in the following order: DECABF D) that A or B will speak first
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.
Six students A, B, C, D, E, F are to give speeches to the class. The order of speaking is determined by random selection. Comput the
A) E will speak first
B) that C will speak fifth and B will speak last
C) that the students will speak in the following order: DECABF
D) that A or B will speak first
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