Solve the problem.
-8 basketball players are to be selected to play in a special game. The players will be selected from a list of 27 players. If the players are selected randomly, what is the probability that the 8 tallest players will be selected?
A) $\frac { 1 } { 213,127,200 }$
B) $\frac { 1 } { 40,320 }$
C) $\frac { 8 } { 27 }$
D) $\frac { 1 } { 2,220,075 }$

Question

Solve the problem.
-8 basketball players are to be selected to play in a special game. The players will be selected from a list of 27 players. If the players are selected randomly, what is the probability that the 8 tallest players will be selected? 
A) $\frac { 1 } { 213,127,200 }$
B) $\frac { 1 } { 40,320 }$
C) $\frac { 8 } { 27 }$
D) $\frac { 1 } { 2,220,075 }$

Quizplus · Accepted Answer

The probability is calculated by dividing the number of favorable outcomes (selecting the 8 tallest players) by the total number of ways to select 8 players from 27. The total number of combinations is $\binom{27}{8}$, which equals 2,220,075. There is only 1 way to select the 8 tallest players, so the probability is $\frac{1}{2,220,075}$.

Solve the Problem 1213,127,200\frac { 1 } { 213,127,200 }213,127,2001​ B) 140,320\frac { 1 } { 40,320 }40,3201​

Solve the Problem $\frac { 1 } { 213,127,200 }$ B) $\frac { 1 } { 40,320 }$