Question

A large chess tournament begins with 256 players. After each round, r, half of the players remain. How many players are left after 5 rounds?

a) 16
b) 32
c) 64
d) 128

Answer 1

After 5 rounds in a chess tournament with 256 players where the number of players is halved each round, there will be 8 players left, which is not one of the provided answer options.

Step-by-step explanation:

The question asks how many players are left after 5 rounds in a chess tournament that starts with 256 players and halves the number of players after each round. We calculate this using the formula for exponential decay, which is N = N0 * (1/2)^r, where N is the final number of players, N0 is the initial number of players, and r is the number of rounds.

Starting with 256 players and applying the formula for 5 rounds:

• N = 256 * (1/2)^5
• N = 256 * (1/32)
• N = 8

After 5 rounds, there will be 8 players remaining. This does not match any of the provided options (a) 16, (b) 32, (c) 64, or (d) 128.