बृहत्संहिता (आचार्य वराहमिहिर - स्थापत्य, खगोल, मौसम व जल विज्ञान)

608 बृहत्संहितायाम् [Adh. LXXVII. Śl. 19-22. Sloka 18.—Each drug taken in one proportion being combined with three others in two, three and four pro- portions successively makes six kinds of scents. So do they, when taken in two, three and four proportions. द्रव्यचतुष्टययोगाद्गन्धचतुर्विंशतिर्यथैकस्य । एवं शेषाणामपि षण्णवतिः सर्वपिण्डोऽत्र ॥१९॥ Sloka 19.—As in this manner four substances com- bined in different proportions yield 24 perfumes ; so too the other tetrads. Hence the sum will be 96. षोडशके द्रव्यगणे चतुर्विकल्पेन भिद्यमानानाम् । अष्टादश जायन्ते शतानि सहितानि विंशत्या ॥२०॥ Sloka 20.—Out of a collection of sixteen kinds of substances, the number of perfumes that can be made by selecting any four will be 1820. षण्णवतिभेदभिन्नश्चतुर्विकल्पो गणो यतस्तस्मात् । षण्णवतिगुणः कार्यः सा संख्या भवति गन्धानाम् ॥२१॥ Sloka 21.—Since this quantity combined in four different ways admits of 96 variations, this number 1820 must be multiplied by 96. The product will be the total of possible combinations of perfumes. पूर्वेण पूर्वेण गतेन युक्तं स्थानं विनान्त्यं प्रवदन्ति संख्याम् । इच्छाविकल्पैः क्रमशोग्भिनीय नीते निवृत्तिः पुनरन्यनीतिः ॥२२॥ Sloka 22.—Write in a vertical column the numbers 1 to 16 upwards ; in a second column by its side write one, and then write above that the sum of the first two figures of the first column, viz , 3 ; add this result to the third number and write it above that ; continue this process until you reach the penultimate number, i. e., 15. Repeat this process in the third and fourth