Using combination and permutation we found out that there are 30240 ways to make varieties of pizza with 3 toppings.
Given 10 toppings
10C3 =10!/3! 7! =120
10P5 =10!/5! =30240 ways
A permutation is a process of placing objects or numbers in order. Combining is the ability to select an object or number from a group of objects or collections such that the order of the objects does not matter.
In mathematics, a combination is the selection of elements from a set with different members, so the order of selection does not matter.
The process or state of binding. Some combination: A combination of ideas. Combined: A chord is a combination of notes. Alliance of Individuals or Parties: Combinations to restrict transactions.
Learn more about combination here: brainly.com/question/11732255
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96 meters???????????????????
First option:
y=money saved
x=number of months
y=30x+500
Second option:
y=50x+200
We have this system of equations:
y=30x+500
y=50x+200
We can solve this system of equations by equalization method
30x+500=50x+200
30x-50x=200-500
-20x=-300
x=-300/-20
x=15
so;
y=30x+500
y=30(15)+500
y=450+500
y=950
Answer; after 15 months, she would save the same amount using either option, the amount saved in either option will be $950.
Answer:
4x^2 − 4x −1 + 11 / x+1
Step-by-step explanation:
The answer is
4x^2 − 4x −1 + 11 / x+1
If she needs to use 225g of flour for each cake and wants to make 18 cakes she will need 4050g (225x18=4050) of flour but she only has 360g which is obviously not enough flour. For one cake she needs 75g of sugar and since she needs to make 18 cakes she needs 1350g (75x18=1350) of sugar. She only has 135g so it’s not enough.