There are 28 ways in which a couple can choose the name of the baby for its name.
<h3>What is defined as the combination?</h3>
- A combination is an algebraic technique for determining the number of possible arrangements in a set of items in which the order of the selection is irrelevant.
- You can choose the items in just about any order in combinations. Permutations and combinations are often confused.
If we need to choose objects from two groups of x and n objects so that one object from each group is chosen, we can do so by calculating the combinations possible by:
= ˣC₁ × ⁿC₁
Let 'x' be the set of first name = 7
Let 'n' be the set of second name = 4
Putting the values in formula;
= ⁷C₁ × ⁴C₁
= 7 × 4
= 28
Thus, there are 28 ways in which a couple can choose the name of the baby for its name.
To know more about the combination, here
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The complete question is-
A couple has narrowed down the choices of a name for their new baby to 7 first names and 4 second names.
How many different first- and second-name arrangements are possible?
Answer: B.
Step-by-step explanation: Googled it.
X=12, y=7.5
Here is an explanation if you want to know how to do it:
First, look at the diagram and think about what you know so far. Since the lines are parallel, 5x+4y and 12y must be equal. We also know that there is a right angle, so since both angles are equal, 12y=90 and 5x+4y=90.
Solve for y by dividing 90 by 12 to get 7.5, so y=7.5. Sub in this value to the equation on top and you should get 5x+4(7.5)=90 4(7.5)=30, so subtract that from 90 to get 60 and divide 60 by 5 to get 12, so x=12.
All you need to do is add 37+16 and it will be equivalent to 53
105 is the product of 15 and 7.
