Given the question:
The manager of a baseball team has 15 players to choose from for his 9-person batting order. How many different ways can he arrange the players in the lineup?
5,005 362,880 3,603,600 1,816,214,400

The number of was in which a smaller group is choosing from a bigger group is given by the bigger number combination the smaller number.
$^nC_r= \frac{n!}{(n-r)!r!}$
Here, we want to choose a 9-person batting order from a team of 15 players. This is given by:
$^{15}C_9= \frac{15!}{(15-9)!9!}=\frac{15\times14\times13\times12\times11\times10\times9!}{6!\times9!}= \frac{3,603,600}{720} =5,005$

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3 years ago

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Which of the following represents the total cost of the shoes by applying the $15 coupon first and the 20% member discount secon

murzikaleks [220]

Considering the definition of an equation and the way to solve it, the total cost of the shoes is 0.20×(x-15).

<h3>Definition of equation</h3>

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

<h3>Total cost in this case</h3>

Being "x" the price of the shoes, and knowing that:

you apply a discount of $15 first → x -15
you apply a discount of 20% through a second discount (
(applied on the first discount already made) → 20%×(x-15) → 0.20×(x-15)

the equation in this case is:

<u><em>Total cost= 0.20×(x-15)</em></u>

Finally, the total cost of the shoes is 0.20×(x-15).

Learn more about equations:

brainly.com/question/4983716

brainly.com/question/13314678

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1 year ago