are possible combinations .
<u>Step-by-step explanation:</u>
Here we have , A laptop lock has a 4 digit combination. Each character can be any digit between 0-7. The only restriction is that all 4 characters cannot be the same (e.g. 0000, 1111, 2222,... etc.). We need to find How many combinations are possible .Let's find out:
The first digit has 8 choices (can be all of them), the second digit also has 8 choices. The third and fourth digits also have 8 choices.
Multiply them together you get:
⇒ 
⇒ 
possible combinations.
But since all 4 characters cannot be the same, we subtract 8 from 4096 (there are 8 combinations which the 4 characters are the same: 1111, 2222, 3333, 4444, 5555, 6666, 7777, and 0000) and we get :
⇒ 
⇒
Therefore, are possible combinations .
Answer:
200cm cubed
Step-by-step explanation:
Remember that volume of a rectangular prism is length x width x height
Answer:
1 min : 12 min
Step-by-step explanation:
To simplify the given ratio, convert both to the same unit of time.
1 hour = 60 minutes
3 hours = 3 x 60 minutes
= 180 minutes
So that,
15 min : 3 hours = 15 min : 180 min
divide through by 15 to have;
15 min : 180 min = 1 min : 12 min
Thus the simplified form of the number give is 1 min : 12 min.
Answer:
If AB = CD, then CD = AB. symmetric property
If MN = XY , and XY = AB , then MN = AB. transitive property
Segment CD is congruent to segment CD reflexive property
Step-by-step explanation:
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