Answer:
The total number of combinations is 2,358,720,000
Step-by-step explanation:
For the letter part of the ID we have 3 letters out of a space of 26 possible letters (a-z), and they can't repeat. For the number part we want to group 5 numbers out of 10 possible algarisms (0-9).So we can make an arrangement for the letters and one for the numbers and multiply them. The arrangment can be done using the following formula:
A(n,k) = (n!)/(n-k)!
Where n is the total number of possibilities and k is the size of the group.
For the letters:
A(26,3) = (26!)/(26-3)! = (26!)/(23!) = (26*25*24*23!)/(23!) = 26*25*24 = 15600
For the numbers:
A(10,5) = (10!)/(10 - 5)! = 10!/5! = (10*9*8*7*6*5!)/(5!) = 10*9*8*7*6*5 = 151200
The total number of combinations is the product of both, so:
combinations = 15600*151200 = 2,358,720,000
Good evening ,
<u><em>Answer:</em></u>
<h2>the regular price of the item is $80.</h2>
<u><em>Step-by-step explanation:</em></u>
Let p represent the regular price of the item.
p - p×(40/100) = 48 ⇌ p×(1 - 40/100) = 48 ⇌ p×(100/100 - 40/100) = 48
⇌ p×(60/100) = 48 ⇌ p = (480×100)/60 = 48 000/60 = 80.
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:)
Answer:
C
Step-by-step explanation:
Hope it helps
35 + 28 = 63
100 - 63 = 37 pieces left for Carol to find.
Salt is used in the largest quantity in Lydia's recipe.
<em><u>Explanation</u></em>
Required spices are......
Salt = teaspoon , Oregano = teaspoon, Crushed thyme = teaspoon and Black peeper = teaspoon
For finding the largest quantity, first we need to make the denominators of each fraction as equal and then identify the largest numerator.
The denominators are 2, 3, 4 and 8 and their LCM(Least common multiple) will be 24. So.....
As the largest numerator is 12 here, so the value of is largest among all the fractions.
Thus, <u>Salt</u> is used in the largest quantity in Lydia's recipe.