Permutations and Combinations in Vedic Mathematics
12.16.07 (2:22 pm) [edit]
The early Jainas seem to have a great liking for the subject of combinations and permutations. A permutation is a particular way of ordering some or all of a given number of items. Therefore the number of ways of arranging them gives the number of permutations, which can be formed from a group of unlike items. A combination is a selection from some or all of a number of items, unlike permutations, the other is not taken into account. Therefore the number of ways of selecting them gives the number of combinations, which can be formed into a group of unlike items. Permutations and combinations were favourite topics of study among the Jainas. In the Bhagawati sutra are set forth simple problems such as finding the number of combinations that can be obtained from a given number of fundamental philosophical categories taken one at a time, two at a time, three at a time or more at a time. The Jaina commentator Silanka has quoted three rules regarding permutations and combinations, two of them are in Sanskrit verse and the other is most interestingly in Ardhamagadhi verse.