YOU OWN A GARAGE DOOR OPENER WITH NO INSTRUCTIONS AND YOU DON'T KNOW YOUR CODE.
YOU OPEN IT UP - AND THERE ARE FOUR SWITCHES. EACH SWITCH HAS ONLY TWO POSSIBLE POSITIONS - EITHER UP OR DOWN.
Please explain your answer...Thanks
2007-05-02 12:15:57 · 3 answers · asked by JC 2 in Science & Mathematics ➔ Mathematics
If there is one switch, it can have two possibilities.
On
Off
Two switches have four possibilities:
On - On
On - Off
Off - On
Off - Off
Three switches have eight possibilities
On - On - On
On - Off - On
Off - On - On
Off - Off - On
On - On - Off
On - Off - Off
Off - On - Off
Off - Off - Off
As you can see, each additional switch doubles the number of choices.
The formula for this is 2^n, where n is the number of switches.
Four switches will have 2^4 or 16 possible combinations.
2007-05-02 12:21:21 · answer #1 · answered by TychaBrahe 7 · 1⤊ 0⤋
There are 2^4 = 16 different combinations. Here they are:
0000
0001
0010
0011
0100
0101
0110
0111
1000
1001
1010
1011
1100
1101
1110
1111
2007-05-02 12:19:50 · answer #2 · answered by Anonymous · 2⤊ 0⤋
answer is 2x2x2x2=16 possible solutions
2007-05-02 12:20:57 · answer #3 · answered by al_d_0 2 · 0⤊ 0⤋