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AlexFokin [52]
1 year ago
9

a couple has narrowed down the choices of a name for their new baby to first names and middle names. how many different​ first-

and​ middle-name arrangements are​ possible?
Mathematics
1 answer:
emmainna [20.7K]1 year ago
8 0

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?

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