If P = 1,2 then the set P × P × P is

Question

If P = 1,2 then the set P × P × P is (A)  (1, 1, 1), (1, 1, 2), (1, 2, 1), (1, 2, 2), (2, 1, 1), (2,1,2), (2, 2,1), (2,2,2)  (B)  (1, 1, 1), (1, 1, 2), (2, 2, 2), (1, 2, 1), (2, 1, 1), (2,1,2), (2,2,1)  (C)  (2,1,1), (2,2, 2), (1,1,1)  (D) None of these

Tardigrade Admin · Accepted Answer

We have, P × P × P= (1,1,1),(1,1,2), (1,2,1), (1, 2, 2), (2,1,1), (2,1, 2), (2,2,1), (2,2,2) .

Q. If $P = {1, 2}$ , then the set $P \times P \times P$ is

${(1, 1, 1), (1, 1, 2), (1, 2, 1), (1, 2, 2), (2, 1, 1)$ ,
$(2, 1, 2), (2, 2, 1), (2, 2, 2)}$

${(1, 1, 1), (1, 1, 2), (2, 2, 2), (1, 2, 1), (2, 1, 1)$ ,
$(2, 1, 2), (2, 2, 1)}$

${(2, 1, 1), (2, 2, 2), (1, 1, 1)}$

None of these

We have, $P \times P \times P = {(1, 1, 1), (1, 1, 2), (1, 2, 1)$ ,
$(1, 2, 2), (2, 1, 1), (2, 1, 2), (2, 2, 1), (2, 2, 2)}$ .

Q. If P={1,2}, then the set P×P×P is

{(1,1,1),(1,1,2),(1,2,1),(1,2,2),(2,1,1), (2,1,2),(2,2,1),(2,2,2)}

{(1,1,1),(1,1,2),(2,2,2),(1,2,1),(2,1,1), (2,1,2),(2,2,1)}

{(2,1,1),(2,2,2),(1,1,1)}