This is in continuation of the earlier article:
Numbers in the squares of Meru prastaar are obtained by adding the numbers in the two squares just above them. This is because of the combinatorial relation given by Halayudha:
There are two ways of understanding this combinatorial relation – Logical and analytical. Let us first understand this in a logical way.
Let’s say that from a group of 14 persons we want to choose a committee of 3 persons. This can be done in ways.
Now let’s say that one more person is added to this group. Hence, there are now 15 persons in this group. We now have to choose 3 persons from this group. This can be done in two ways – either the new entrant is selected for the committee or he is not chosen.
Case 1: the new entrant is not chosen to be on the committee
This is like saying that the new entrant is kept out of the group. Hence, we choose 3 persons from the group of 14 people. This is done in ways.
Case 2: the new entrant is chosen to be on the committee
Hence for the 2 remaining positions in the committee persons will have to be chosen from the original group of 14 people. This can be done in ways.
Thus, we have
In general, we say that
Analytically, we have
Thus, we get
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