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The Auihor of Ratna Mañ jusâ and the Binomial Expansion
IOS
Patākā when p= 3, q = 3.
12 36
+
5
8
15
24
107 | 1217
11
14
21
13
16
Generalisation of the Merukriyā.
The composite linel? (i.e., pq, pq-1, pg.2,..., p), i.e. 9, 8, 7,..., 3, in this case, is written above the vertical lines of cells of the patākā
According to Nārāyana, numbers in cells of the patakā are18 the serial numbers of permutations in which the sum of the digits is given by the number of the composite line written above that cell.
The serial numbers in the patākā given above are those of the expansion given earlier.
Numbers in a column of the patākā are the serial numbers of expansion in each of which the sum of digits is 19 given by the number in the topmost cell. Thus, 3, 5, 7, 11, 13, and 19 are the serial numbers of permutations in each of which the sum of digits is 7.
17. GK., xiji, 22 (c-d) 23 (a-b). 18-19. GK., p. 332.
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