mathematics a discrete introduction

Arrangement and selection of objects are the central ideas of this chapter on permutations and combinations. They are widely applied in solving problems of probability, genetic engineering and life scienc..

A set of numbers arranged in a definite order according to some definite rule is called a sequence . Sequences have wide applications. For example, the amount of money in a fixed deposit in a bank, over a number of years increases in a sequenc..

Introduction - A set of numbers arranged in a definite order according to some definite rule is called a sequence . Sequences have wide applications. For example, the amount of money in a fixed deposit in a bank, over a number of years increases in a sequenc..

Summary - The fundamental principle of counting (F.P.C) states that if an operation can be performed in m different ways and if for each such choice, another operation can be performed in n different ways, then both operations, in succession can be performed in exactly mn different ways. The princi..

Introduction - A set of numbers arranged in a definite order according to some definite rule is called a sequenc..

Question: Find n. Answer: i) ii..

Question: When n = 5 and r = 2, find the values of Answer: i) ii) ..

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Question: Answer: ..

Question: Answer: i. The value of C(n, 25) = C(25, 25) = 1 ii..