Question

Tarun's physical education teacher gave him the responsibility of organising a Kabaddi competition in school. Tarun along with his classmates formed several committees and prepared a knockout fixture of 17 teams for the Kabaddi tournament. He faced many challenges in organizing the match, but finally, he was successful.

Answer the following questions based on the above case and your prior knowledge:

Which formula was used to allot byes to the above teams in the lower half?

OR

Which formula was used to allot byes to the above teams in the upper half?

Answer 1

For 17 teams, the next power of two is 32, so the number of byes is \[NB = 32 - 17 = 15\]. Since the number of teams is odd, the lower-half formula is \[\frac{NB + 1}{2}\], while the upper-half formula is \[\frac{NB - 1}{2}\].