पृष्ठम्:Ganita Sara Sangraha - Sanskrit.djvu/३४८

150 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 cach (of them) I like you (alone)". Ilow many (of her statements, explicit as well as implicit) are true ones? The rule regarding the (possible) varieties of combinations (among given things) :- 1- 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 (he) divided by the (correspoudrug) 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 as) the result. GANITASĀRASANGRAHA. 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 saline, together with the sweet taste (as the sixth). 220 O friend, yon (tell me quickly how many varieties there may be, owing to variation in combination, cf a (single string) necklace made up of diamonds, sapphires, emeralds, corals, and pearls.. 221. 0 (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 the (following) flowers- ketaki, asoka, campaka, and nilotpala. 218. This rule relates to a problem in combination. The formula given n (n – 1) (2 - 2). (nr + 1) liere is and this is obviously equal 1.2.3. to r | 12 22-7 5