Solve the problem.
-In a certain lottery, five different numbers between 1 and 36 inclusive are drawn. These are the winning numbers. To win the lottery, a person must select the correct 5 numbers in the same order in which they were drawn. What is the probability of winning?
A) $\frac { 1 } { 120 }$
B) $\frac { 1 } { 45,239,040 }$
C) $\frac { 120 } { 45,239,040 }$
D) $\frac { 1 } { 36 ! }$

Question

Solve the problem.
-In a certain lottery, five different numbers between 1 and 36 inclusive are drawn. These are the winning numbers. To win the lottery, a person must select the correct 5 numbers in the same order in which they were drawn. What is the probability of winning? 
A) $\frac { 1 } { 120 }$
B) $\frac { 1 } { 45,239,040 }$
C) $\frac { 120 } { 45,239,040 }$
D) $\frac { 1 } { 36 ! }$

Quizplus · Accepted Answer

The total number of ways to select 5 different numbers from 36 in a specific order is $36 \times 35 \times 34 \times 33 \times 32$, which equals 45,239,040. Therefore, the probability of selecting the correct 5 numbers in the correct order is $1$ out of $45,239,040$, or $\frac { 1 } { 45,239,040 }$.

Solve the Problem 1120\frac { 1 } { 120 }1201​ B) 145,239,040\frac { 1 } { 45,239,040 }45,239,0401​

Solve the Problem $\frac { 1 } { 120 }$ B) $\frac { 1 } { 45,239,040 }$