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juin [17]
3 years ago
15

How many permutations in the word calculus

Mathematics
1 answer:
JulijaS [17]3 years ago
6 0
<span>The word CALCULUS contains

2 C's + 1 A + 2 L's + 2 U's + 1 S = 8 letters, in all.

The number of distinct permutations of all these 8 letters

taken together is

... ( 8! ) / [ (2!) (1!) (2!) (2!) (1!) ]

= [ 8 · (7!) ] / 8

= 7 · (6!)

= 7 ( 720 )

= 5040 ........................................... . </span>
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2 years ago
The sum of two numbers is 95. If the larger is increased by twice the smaller, the result is 120. Find the numbers.
adelina 88 [10]
Hello!

You can make two expressions based on what you know

let x equal the larger number
let y equal the smaller number

x + y = 95
x + 2y = 120

We can use elimination to get rid of x

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5 0
3 years ago
solve for x and y ,32base x+51base y and 23base x +42 base y =710. ,number bases interms of simultaneous equation​
In-s [12.5K]

Answer:

<h2>x = -348.5, y = 350.5</h2>

Step-by-step explanation:

32base x means 3x + 2

Similarly, 32base x+51base y equals to 3x + 2 + 5y + 1 = 3x + 5y + 3

and 23base x +42 base y means 2x + 3 + 4y + 2 = 2x + 4y + 5

As per the given condition, 3x + 5y + 3 = 2x + 4y + 5\\x + y = 2

Putting, y = 2 - x in 2x + 4y + 5 = 710, we get

2x + 4y = 705\\2x + 4(2 - x) = 705\\8 - 2x = 705\\4 - x = 352.5\\x = -348.5

y = 2 - x = 2 - (-348.5) = 2 + 348.5 = 350.5

6 0
3 years ago
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