Numbers are numbers of the form...
1 answer:
Answer: Third option.
Step-by-step explanation:
In order to solve the given exercise it is important to remember that:
1. Rational numbers are defined as those numbers that can be wrriten as a simple fraction.
2. The symbol for Rational numbers is: Q
3. Integers can be positive numbers, negative numbers and zero.
4. The symbol for Integers is: Z
5. Fractions have the following form:
Where:
"a" is the numerator and "b" is the denominator.
The numerator "a" and the denominator "b" are both Integers ( and )
Therefore, based on the information given above, you can conclude that Rational numbers are numbers of the form ∈
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Answer:
There are 165 ways to distribute the blackboards between the schools. If at least 1 blackboard goes to each school, then we only have 35 ways.
Step-by-step explanation:
Essentially, this is a problem of balls and sticks. The 8 identical blackboards can be represented as 8 balls, and you assign them to each school by using 3 sticks. Basically each school receives an amount of blackboards equivalent to the amount of balls between 2 sticks: The first school gets all the balls before the first stick, the second school gets all the balls between stick 1 and stick 2, the third school gets the balls between sticks 2 and 3 and the last school gets all remaining balls.
The problem reduces to take 11 consecutive spots which we will use to localize the balls and the sticks and select 3 places to put the sticks. The amount of ways to do this is As a result, we have 165 ways to distribute the blackboards.
If each school needs at least 1 blackboard you can give 1 blackbooard to each of them first and distribute the remaining 4 the same way we did before. This time there will be 4 balls and 3 sticks, so we have to put 3 sticks in 7 spaces (if a school takes what it is between 2 sticks that doesnt have balls between, then that school only gets the first blackboard we assigned to it previously). The amount of ways to localize the sticks is . Thus, there are only 35 ways to distribute the blackboards in this case.