Mathematics, 22.04.2020 04:05 cougs

Keely is planning a bridal shower for her best friend. At the party, she wants to serve 4 beverages, 3 appetizers, and 4 desserts, but she does not have time to cook. She can choose from 11 bottled drinks, 10 frozen appetizers, and 8 prepared desserts at the supermarket. How many different ways can Keely pick the food and drinks to serve at the bridal shower?

Answers: 3

Show answers

Answers

Answer from: zoriahmendoza

The different ways in which Keely can pick the food and drinks to serve at the bridal shower is 2,772,000.

Step-by-step explanation:

Combinations is a mathematical procedure to determine the number of ways to select k items from n different items, without replacement and irrespective of the order of selection.

The formula to compute the combination of k items from n items is:

${n\choose k}=\frac{n!}{k!(n-k)!}$

The menu for the bridal shower consists of:

Beverages: 4

Appetizers: 3

Dessert: 4

It is provided that Keely does not have time to cook. SO she goes to the supermarket and there she has the following options:

Beverages: 11

Appetizers: 10

Dessert: 8

Compute the number of ways Keely can select 4 beverages from 11 bottled drinks as follows:

${n\choose k}=\frac{n!}{k!(n-k)!}$

${11\choose 4}=\frac{11!}{4!(11-4)!}$

$=\frac{11!}{4!\times 7!}$

$=\frac{11\times 10\times 9\times 8\times 7!}{4!\times 7!}$

=330

Keely can select 4 beverages in 330 ways.

Compute the number of ways Keely can select 3 appetizers from 10 frozen appetizers as follows:

${n\choose k}=\frac{n!}{k!(n-k)!}$

${10\choose 3}=\frac{10!}{3!(10-3)!}$

$=\frac{10!}{3!\times 7!}$

$=\frac{10\times 9\times 8\times 7!}{3!\times 7!}$

=120

Keely can select 3 appetizers in 120 ways.

Compute the number of ways Keely can select 4 desserts from 8 prepared desserts as follows:

${n\choose k}=\frac{n!}{k!(n-k)!}$

${8\choose 4}=\frac{8!}{4!(8-4)!}$

$=\frac{8!}{4!\times 4!}$

$=\frac{8\times 7\times 6\times 5\times 4!}{4!\times 4!}$

=70

Keely can select 4 desserts in 70 ways.

Compute the total number of ways in which Keely can select 4 beverages, 3 appetizers, and 4 desserts for the party as follows:

Total number of ways = n (4 beverages) × n (appetizers) × n (dessert)

$={11\choose 4}\times {10\choose 3}\times {8\choose 4}$

$=330\times 120\times 70\\=2772000$

Thus, the different ways in which Keely can pick the food and drinks to serve at the bridal shower is 2,772,000.

Answer from: Quest

step-by-step explanation:

Answer from: Quest

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

Another question on Mathematics

Mathematics, 21.06.2019 15:00

What is the value with a place of tenths in 907.456 1) 0 2) 6 3) 4 4) 5

Answers: 1

Answer

Mathematics, 21.06.2019 15:30

Find the height of a square pyramid that has the volume of 32 ft.³ and a base lengthof 4 feet

Answers: 1

Answer

Mathematics, 21.06.2019 15:30

Iwill give brainliest only if your correct the words subsequent and submerge both contain the prefix sub. based on this information, what does the prefix sub most likely mean? a) under or secondary b) true or verifiable c) tricky or difficult d) around or centered on

Answers: 1

Answer

Mathematics, 21.06.2019 18:30

How far could you drive on 50 gallons of gas

Answers: 2

Answer

You know the right answer?

Keely is planning a bridal shower for her best friend. At the party, she wants to serve 4 beverages,...

Questions