A locked door is opened by turning the knobs
shown below to a particular combination of
numbers.
How many possible number combinations are
there for opening the locked door?
There is a picture of 3 knobs, each with four numbers being: 1, 2, 3, and 4. Maybe you could also explain a little?
A) 4
B) 12
C) 24***
D) 64
there are 4 choices for each knob. Since each knob is independent of the others, that gives
4*4*4=64
choices.
24 would be correct if no duplicate digits were allowed.
Oh ok, thank you so much
To determine the number of possible combinations for opening the locked door, we need to consider each knob individually and calculate the total number of combinations.
Given that each knob has four numbers: 1, 2, 3, and 4, and there are three knobs in total, we can find the total number of combinations by multiplying the number of choices for each knob.
Since there are four choices for the first knob, four choices for the second knob, and four choices for the third knob, we multiply these numbers together to get the total number of combinations:
4 choices for the first knob * 4 choices for the second knob * 4 choices for the third knob = 4 * 4 * 4 = 64
Therefore, the correct answer is D) 64.