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kobusy [5.1K]
3 years ago
13

Serial numbers for a product are to be made using 3 letters followed by 4 digits. The letters are to be taken from the first let

ters of the alphabet, with no repeats. The digits are taken from the 10 digits , with no repeats. How many serial numbers can be generated?
Mathematics
1 answer:
Tpy6a [65]3 years ago
3 0

Answer:

30,240 ways,  if I am restricted to using A, B, and C for letters

Step-by-step explanation:

This uses Combinatorics from Discrete Math.

so.

3 letters  and 4 digits.

26 letters from alphabet, but you want to choose first letters.  no repeats...

Does this mean only letters A, B, and C ?

digits from 10 digits...

I imagine  7 empty slots , and the number of ways they occur together is by the product of the number of choices each box has.

3*2*1  *  10*9*8*7 = 6  * 5040  = 30,240 ways

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marissa [1.9K]

Answer:

0.84

Step-by-step explanation:

Use a calculator.  That would be 0.84.

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Note that 63/75 = ---------- = 21/25.  Multiplying top and bottom by 4 results

                                3/25                   in 0.84 (so this answer checks out ok)

3 0
3 years ago
Can someone please help me :) !!!!
Gwar [14]

Answer:

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Step-by-step explanation:

supplementary angles add up to 180

angle cgr and kga are vertical angles so they are equal

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6 0
3 years ago
Solve the system of linear equations by elimination.<br><br> 4x−3y=8<br> 5x−2y=−11
AleksandrR [38]

Answer:

(-7, -12)

Step-by-step explanation:

4x-3y=8

5x-2y=-11

Is there any of the like terms can be added and the result will be 0? No, so we have to multiple one OR both of the equations to make that one number do that.

(I will try to remove the y like terms so i will multiple both of them by the opposite so both of the ys will be 6)

2(4x-3y=8)

-3(5x-2y=-11)

8x-6y=16

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(now the easy part… cancel the 6s and add the equations)

8x+(-15x)=-7x

16+33=49

-7x=49

(divide 49 by -7)

x=-7

Replace x in any of the equations and you’ll get the y value.

4x-3y=8

4(-7)-3y=8

-28-3y=8

-3y=36

y=12

Threfore, there is one solution which is….. (-7,-12)

7 0
2 years ago
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The slope is 3
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2 years ago
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Dennis_Churaev [7]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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