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Shri Mahavir Jain Aradhana Kendra
www.kobatirth.org
Acharya Shri Kailassagarsuri Gyanmandir
150
GANITASĀRASANGRAHA.
An example in illustration thereof. 217. There are five lustful men. Among them three are in fact liked by a public woman. She says (separately) to each (of them) “I like you (alone)”. How many (of her statements, explicit as well as implicit) are true ones?
The rule regarding the (possible) varieties of combinations (among given things) :
218. Beginning with one and increasing by one, let the numbers going up to the given number of things be written down in regular order and in the inverse order (respectively) in an upper and a lower (horizontal) row. (If) the product (of one, two, three, or more of the numbers in the upper row) taken from right to left (be) divided by the corresponding) product (of one, two, three, or more of the numbers in the lower row) also taken from right to left, (the quantity required in each such case of combination is (obtained ag) the result.
Examples in illustration thereof. 219. Tell me) now, o mathematician, the combination varieties as also the combination quantities of the tastes, viz., the astringent, the bitter, the sour, the pungent, and the sline, together with the sweet taste (as the sixth).
220. O friend, you (tell me quickly how many varieties there may be, owing to variation in combination, of a (single string) necklace made up of diamonds, sapphiros, emeralds, corals, and pearls.
221. O (my) friend, who know the principles of calculation, tell (me) how many varieties there may be, owing to variation in combination, of a garland made up of tho (following) flowerskëtaki, asoka, campaka, and nälötpala.
218. This rule relates to a problem in combination. The formula viven n. (n-1). ( 2) . .. (14--T + 1). and this is obviously equal
1. 2. 3. . . .
here is n. (n-1). (na
Ton
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