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
brainly.com/question/12725706
#SPJ9
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: Hope it helps :)
<u>-4</u>
7
Step-by-step explanation:
You have to use the formula <u>y2-y1</u>
x2-x1
So <u>-4-4</u>
8--6
-4-4= -8
8--6= 14 (two negative signs become a positive sign)
You have -8 over 14
If you simplify it's -4/7 or <u>-4</u>
7
A direct variation generally has the equation Y=KX
Because Mrs. Potts makes 5 dozen ravioli in 1 hour, this will be the K value.
(5 dozen/1 hr)
To figure out how many she can make in 2 1/2 hrs. You use 5 dozen/1 hr as the K value and multiply that by 2 1/2 hrs (the X value).
The hrs will cancel out and you will be left with the number of ravioli made in 2 1/2 hrs.
1 year = 365 days.
1 day = 24 hours.
1 hour = 60 minutes.
First convert the hours and minutes in Jupiter orbit to days:
14*60 = 840 +9 = 849 minutes.
849 / 60 = 14.15 hours.
14.15 / 24 = 0.59 days.
Jupiter's orbit is 4332.59 days.
Now divide that by 365 for the number of years:
4332.59 / 365 = 11.87 years.
