Solve the Problem $\mathrm { n } , 1 \} , \{ 1 , \mathrm {~m} , \mathrm { n } , \mathrm { p } \}$

Solve the problem.
-An adventure travel company has reservations from four people (Lee, Maria, Nancy, and Pablo) for its white water rafting trip on June 1st. However the company knows that any of these people may Fail to show up on the day of the trip. Denoting these four people by l, m, n, p, list all possibilities
For the group of people who show up on June 1st for the rafting trip (ie list all possible subsets of
{l, m, n, p}) .

A) $\{ 1 \} , \{ m \} , \{ n \} , \{ p \} , \{ 1 , m \} , \{ 1 , n \} , \{ 1 , p \} , \{ m , n \} , \{ m , p \} , \{ n , p \} , \{ 1 , m , n \} , \{ 1 , m , p \} , \{ 1 , n , p \} , \{ m , n , p \} , \{ m$ , $\mathrm { n } , 1 \} , \{ 1 , \mathrm {~m} , \mathrm { n } , \mathrm { p } \}$
B) $\varnothing , \{ 1 \} , \{ m \} , \{ n \} , \{ p \} , \{ 1 , m \} , \{ 1 , n \} , \{ m , n \} , \{ m , p \} , \{ n , p \} , \{ 1 , m , n \} , \{ 1 , m , p \} , \{ 1 , n , p \} , \{ m , n , p \}$
C) $\varnothing , \{ 1 \} , \{ m \} , \{ n \} , \{ p \} , \{ 1 , m \} , \{ 1 , n \} , \{ 1 , p \} , \{ m , n \} , \{ m , p \} , \{ n , p \} , \{ 1 , m , n \} , \{ 1 , m , p \} , \{ 1 , n , p \} , \{ m , n , p \}$ , $\{ 1 , m , n , p \}$
D) $\{ 1 \} , \{ m \} , \{ n \} , \{ p \} , \{ 1 , m \} , \{ 1 , n \} , \{ 1 , p \} , \{ m , n \} , \{ m , p \} , \{ n , p \} , \{ 1 , m , n \} , \{ 1 , m , p \} , \{ 1 , n , p \} , \{ m , n , p \} , \{ 1$ , $\mathrm { m } , \mathrm { n } , \mathrm { p }$