Answer:
40,320
Step-by-step explanation:
We are given that there are 8 train cars and 1 engine.
We will fix the first place for the engine.
So, we are left with 8 options for the next place.
Now, if we fix the second place for any one of the train cars.
We will be left with 7 options for the next place.
Going on this way until there is no place left for the train cars, we get the relation,
Total number of ways to arrange the train = 1 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
i.e. Total number of ways to arrange the train = 1 × 8! = 8! = 40,320
Hence, the total number of ways to arrange the train is 40,320.
Answer:
1846/1000
Step-by-step explanation:
hope this helps
6a+b = 4
5a + 2b = 1
The value of the unknown variables a and b in given equations are 1 and -2 respectively.
An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given are two equations,
6a+b = 4......(i)
5a + 2b = 1.......(ii)
Solving them by using substitution method,
6a+b = 4
b = 4-6a......(iii)
Using equation (iii) in equation (ii)
5a + 2(4-6a) = 1
5a+8-12a = 1
-7a = -7
a = 1
Put a = 1 n eq(iii)
b = 4-6·1
b = 4-6
b = -2
Hence, The value of the unknown variables a and b in given equations are 1 and -2 respectively.
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Answer:
X = 1
Y = -2
Step-by-step explanation:
Use simultaneous equations to work out.