Solve the problem.
-In an essay contest, a teacher finds that seven students have written excellent essays. Three of these students are Alicia, Pat, and David. If the teacher chooses the first place winner, second place Winner, and third place winner at random from these seven students, what is the probability that Alicia will win first prize, Pat will win second prize, and David will win third prize?
A) $\frac { 1 } { 840 }$
B) $\frac { 3 } { 7 }$
C) $\frac { 1 } { 210 }$
D) $\frac { 1 } { 35 }$

Question

Solve the problem.
-In an essay contest, a teacher finds that seven students have written excellent essays. Three of these students are Alicia, Pat, and David. If the teacher chooses the first place winner, second place Winner, and third place winner at random from these seven students, what is the probability that Alicia will win first prize, Pat will win second prize, and David will win third prize? 
A) $\frac { 1 } { 840 }$
B) $\frac { 3 } { 7 }$
C) $\frac { 1 } { 210 }$
D) $\frac { 1 } { 35 }$

Quizplus · Accepted Answer

The probability of this specific order (Alicia first, Pat second, David third) out of 7 students is calculated by considering there are 7 choices for the first place, 6 remaining choices for the second place, and 5 remaining choices for the third place, making a total of $7 \times 6 \times 5 = 210$ possible outcomes. Since there is only 1 specific outcome where Alicia wins first, Pat wins second, and David wins third, the probability is $\frac{1}{210}$.

Solve the Problem 1840\frac { 1 } { 840 }8401​ B) 37\frac { 3 } { 7 }73​

Solve the Problem $\frac { 1 } { 840 }$ B) $\frac { 3 } { 7 }$