![]() ![]() Different two digits numbers will be formed when we arrange the given numbers. We have to form a permutation of two-digit numbers from a set of numbers S = (5, 7). Permutations refer to the arrangement of elements in a definite manner. Hence from K to G, he can go in 7 * 10 = 70 ways (Multiplication rule) Permutations After that, he can go B to G in 6 + 4 (10) ways (Addition rule). He can go in 4 + 3 = 7 ways (Addition rule). From there, he can either select six metro routes or four bus routes to reach location G. He may go to K to B by either four metro routes or three buses routes. From his home, K, he has first to reach location B and then B to G. If several tasks P1, P2, P3,…………, Pm can be done in K1, K2, K3,……….Km Number of ways respectively and every task comes after the occurrence of the previous task, the number of ways to perform one of these tasks is given byĪn employee lives at location K and wants to go to the office at location G. The Rule of Product (Multiplication rule) Suppose two different tasks, P and Q, which are disjoint it means P ∩Q = Ø Km Number of ways respectively in which no tasks can be performed simultaneously, the number of ways to perform one of these tasks is given by If several tasks P1, P2, P3………, Pm can be done in K1, K2, K3…. The rule of sum or addition principle and the rule of product or multiplication principle are given below. For example, suppose a person (T) can go to the market from their home by bus, by foot, and by bicycle, i.e., T = 3 if he is returning home (B) by foot and by car, i.e., B = 2. It states that if a work X can be done in m ways, and work Y can be done in n ways, then provided X and Y are mutually exclusive, the number of ways of doing both X and Y is m x n. The counting principle is a fundamental rule of counting it is usually taken under the head of the permutation rule and the combination rule.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |