Answer :
Answer:
Step-by-step explanation: To create two dice from two solid cubes using cards, let's follow the given conditions:
Cube 1:
Top Face (Condition i): Number 6 is on the top face.
Arrange the numbers on Cube 1 as follows:
Top Face: 6
Front Face: 1
Right Face: 5
Left Face: 3
Back Face: 4
Bottom Face: 2
Here, number 2 (bottom face) is adjacent to 4 (back face).
Bottom Face (Condition ii): Number 3 is on the bottom face.
Arrange the numbers accordingly:
Bottom Face: 3
Remaining faces can be arranged to meet the condition where number 4 is adjacent to 5.
To satisfy the condition (ii) where number 4 is adjacent to 5 on the bottom face, you can arrange the remaining numbers as:
Front Face: 1
Right Face: 5
Left Face: 2
Back Face: 4
Top Face: 6
Cube 2:
For Cube 2, ensure that the top and bottom faces meet the conditions specified:
Top Face (Condition i): Number 6 is on the top face.
Arrange the numbers on Cube 2 as follows:
Top Face: 6
Front Face: 3
Right Face: 1
Left Face: 5
Back Face: 2
Bottom Face: 4
Here, number 2 (back face) is adjacent to 4 (bottom face).
Bottom Face (Condition ii): Number 3 is on the bottom face.
Arrange the remaining numbers to satisfy condition (ii) where number 4 is adjacent to 5:
Bottom Face: 3
Front Face: 1
Right Face: 5
Left Face: 2
Back Face: 4
Top Face: 6
By arranging the numbers on the cubes according to these conditions, you will have two dice where each cube satisfies the specified conditions for the top and bottom faces.