Book Title: Jain Journal 1980 10
Author(s): Jain Bhawan Publication
Publisher: Jain Bhawan Publication

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Page 33
________________ On Application of the Law of Combination in Early Jaina Philosophy SAJJAN SINGH LISHK Mathematically according to the law of combination, n things taken r at a time can be arranged in C ways. Symbolically, we can writel C= where I n is read as n factorial and n . =n | n-1 =n(n-1) | 0-2 and so on, In = n(n-1) (n-2)...... ......3.2.1. This law has been widely used in different contexts of Jaina philosophy. Firstly let us consider the case of Saptabhangi i.e. the doctrine of seven-fold prediction. A real is characterized by three characteristics viz. being, non-being and inexpressibility. Now the total number of combinations of these three characteristics taking one, two or three at a time can be easily computed as follows: 3 13 C = = 3 1 1 1 1 3-1 3 1 3 C = - 2 | 2 | 3-2 CE 3 1 3 33 | 3-3 =l (: 10 = 1) 1 See Chapter on Permutation and Combination in any pre-University book on Algebra Jain Education International For Private & Personal Use Only www.jainelibrary.org

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