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सटीको वृत्तजातिसमुच्चयः (ÎNTRODUCTION Mātrās is 2 and that for a metre with 3 Mātrās is 3. Hereafter, the Samkhyā for a metre with an additional Mātrā is equal to the Samkhyā of the two preceding metres added together (v. 49). Thus the Samkhyā for a metre with 4 Mātrās is 2+3=5; that for a metre with 5 Mātrās is 3+5= 8; that for a metre with 6 Mātrās is 5 + 8 = 13 and so on. On the other hand, the Samkhyā of the Amsaka Vrttas like the Gāthā is to be determined as follows:-As before, put the figure, which represents the possible permutations, under each Amsa and then go on multiplying these figures together until you reach the last. In the case of the Gāthā, this resulting figure is 81,920,000 (vv. 52-53). For the Vaitālīya, however, a slighíly different operation is required; it is not given in the text and so, we are told, the commentator has added a Gāthā of his own for that purpose (v. 54). It is this :-After putting the figure representing the possible permutations of an Amsa under each of the Ambas of the four Pädas of a Vaitālīya, go on multiplying as in the case of the Gāthā until you reach the 3rd and the 4th Amśa of the 2nd Päda. Here after the usual multiplication deduct in each case the figure arrived at at the end of the 1st Pāda. Similarly, after multiplying as usual in the 3rd Pāda and the first 2 Amśas of the 4th, multiply again by the figure under the 3rd Amsa and deduct from that amount the figure arrived at at the end of the 3rd Pāda. Multiply again by the figure under the 4th Amśa and deduct from the amount the same figure arrived at at the end of the 3rd Pāda. This gives the required number of the possible permutations of a Vaitālīya (v. 54). To illustrate : Put down the figures 2, 2, 2, 1, 1 under the 5 Amśas of each of the first and the third Pādas and 2, 2, 2, 2, 1, 1 under the 6 Ambas of each of the 2nd and the 4th Padas of the stanza. Then go on multiplying as directed; at the end of the 1st Pāda we get the figure 8. When we get to the 3rd Amsa of the 2nd Päda our multiplication is 32. After multiplying this by 2 under the 3rd Amsa we get 64; now deduct from this 8 which is the figure arrived at at the end of the first Päda. We get 56; multiply this by 2 under the 4th Amía and again deduct from it the same figure, i.e., 8. Thus we get 104 at the end of the 2nd Päda. Repeat the same process until we get 104 multiplied by 8 equal to 832 at the end of the 3rd Päda. Proceed by multiplying this by 2 and 2 under the 1st and the 2nd Amśas of the 4th Päda, by which we get 3,328; multiply this by 2 under the 3rd Amśa and deduct from it 832 which we get at the end of the 3rd Päda. We get 6,656 - 832=5,824. Again multiply this by 2 under the 4th Amśa and deduct 832 from it, thus getting 11,648 — 832=10,816 which represents the total number of the permutations of a stanza in the Vaitālīya metre.
