Question

Company BEYONCE hosted a party for 8 members of Company AXIAL. In the party no member of AXIAL had interacted with more
than three members of BEYONCE Out of all the members of BEYONCE, three members – each interacted with four members of
AXIAL and the remaining members – each interacted with two members of AXIAL. The greatest possible number of members of
company BEYONCE in the pa​

Answer 1

Question)

Company BELIANCE hosted a party for 8 members of Company AXIAL. In the party no member of AXIAL had interacted with more than three members of BELIANCE. Out of all the members of BELIANCE, three members – each interacted with four members of AXIAL and the remaining members – each interacted with two members of AXIAL. The greatest possible number of members of company BELIANCE in the party is?

Solution:

The important constraint here is that in the party, no member of AXIAL had interacted with more than three members of BELIANCE.

Given that there are 8 members of company AXIAL and three members of company BELIANCE interacted with four members of AXIAL.

Therefore, the maximum possible number of members of company BELIANCE in the party will be 3$+^{4} C_{2}$ (Since, each of the remaining members of the company BELIANCE have interacted with two members of AXIAL) = 9