A computer accessory comes in red (R), gray (G), or black (B) and has an optical mouse (O), mechanical mouse (M), or trackball (T). What are all the different combinations available for the accessory?
Responses
A {R, G, B}{R, G, B}
B {R, G, B, O, M, T}{R, G, B, O, M, T}
C {RO, RM, RT, GO, GM, GT, BO, BM, BT}{RO, RM, RT, GO, GM, GT, BO, BM, BT}
D {RO, GM, BT}
C {RO, RM, RT, GO, GM, GT, BO, BM, BT}{RO, RM, RT, GO, GM, GT, BO, BM, BT}
what happened on June 12 2007
There were several events that happened on June 12, 2007, some of the notable ones are:
1. The Apple iPhone was released for sale in the United States.
2. A suicide bomber attacked the Indian embassy in Kabul, Afghanistan, killing 58 people and injuring more than 140.
3. The New York Times reported that the National Security Agency (NSA) had been secretly collecting information about Americans' phone calls since 9/11.
The correct answer is C) {RO, RM, RT, GO, GM, GT, BO, BM, BT}.
To find all the different combinations available for the accessory, we need to take the Cartesian product of the color set {R, G, B} with the mouse type set {O, M, T}.
The Cartesian product is obtained by taking each element of the first set and combining it with every element of the second set. In this case, we combine each color (R, G, B) with each mouse type (O, M, T), resulting in the following combinations:
- RO (red optical mouse)
- RM (red mechanical mouse)
- RT (red trackball)
- GO (gray optical mouse)
- GM (gray mechanical mouse)
- GT (gray trackball)
- BO (black optical mouse)
- BM (black mechanical mouse)
- BT (black trackball)
Therefore, the correct answer is C) {RO, RM, RT, GO, GM, GT, BO, BM, BT}.