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) $\frac { 8 } { 27 }$
B) $\frac { 1 } { 40,320 }$
C) $\frac { 1 } { 2,220,075 }$
D) $\frac { 1 } { 213,127,200 }$

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) $\frac { 8 } { 27 }$
B) $\frac { 1 } { 40,320 }$
C) $\frac { 1 } { 2,220,075 }$
D) $\frac { 1 } { 213,127,200 }$

Quizplus · Accepted Answer

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

Solve the Problem 827\frac { 8 } { 27 }278​ B) 140,320\frac { 1 } { 40,320 }40,3201​

Solve the Problem $\frac { 8 } { 27 }$ B) $\frac { 1 } { 40,320 }$