Book Title: Ganitasara Sangraha of Mahavira
Author(s): Rangacharya
Publisher: Rangacharya

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Page 352
________________ 150 GANITASARASANGRAHA. 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)". low inany (of her statemonts, explicit n3 well as implicit) are true ones? 10. The rulo rogarding the (possible) varieties of combinations (among given things) : 218. Beginning with one and increasing by one, let the numbors going up to the given number of things be written down in regular order and in the inverse order (rospectively) in an upper and a lower (horizontal) row. (If) the product of one, two, threo, or more of the uumbers in the upper ruw) taken froin right to left (be) diviled 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 roquired in oach such case of combination) is (obtained as the result. Examples in illustration thereof. 219. Tell me now, O mathematician, the combination varietion is also the combination quantities of the tastes, viz., the astringent, the bitter, the sour; the pungent, and the saline, together with the sweet taste (as the sixth). 220. O friond, you (tell mo quickly how many varieties there may be, owing to variation in combination, of a (single string) uceklace made up of diamonds, sapphiros, oneralds, corals, and poarls. 221. () (my) friend, who know the priociples of calculation, tell (mo) how many varieties there may be, owing to variation in combination, of a garland made up of tho (following) flowerskétaki, asoka, campaka, and nilotpala. 218. This rulo relates to a problem in combination. The formula given baru ien. (n-1). (* -- 2) .... ( r ). and this is obviously equal 1. 2. 3. . . . .

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