The sum of three consecutive numbers is 600. What is the least of these three numbers?
2 answers:
Answer:
199
Step-by-step explanation:
So we have three consecutive numbers that totals 600 when added.
Let's let the first number be n.
This means that the next number is (n+1), and the subsequent number is (n+2).
This totals 600. In other words:
To solve for the integers, solve for n.
Combine like terms:
Subtract 3 from both sides:
Divide both sides by 3:
So, the first integer is 199.
So our sequence is: 199, 200, 201.
So, the least of the three is 199.
And we're done!
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Answer:
There are 2,480,721,300,000,00 ways to paint this set.
Step-by-step explanation:
We have that:
A set of 27 elements, of which:
7 are painted white
6 are painted old gold
2 are painted blue
7 are painted yellow
5 are painted green
How many ways are there to paint?
A single change in the set, for example, element 0 exchanged with element 1, means we have a new way. So we use the permutations formula to solve this problem:
Permutations
Permutations of a set of x elements divided into sets of size w,y,z.
The number of ways is:
In this problem, we have that:
A set of 27 divided into sets of 7,6,2,7,5. So
There are 2,480,721,300,000,00 ways to paint this set.