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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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a float in the Tournament of Roses Parade may use as many flowers as a florist sells in 6 years if f is a number of flowers a fl
givi [52]

Answer:

<em>6f</em>

Step-by-step explanation:

If the florist sells f flowers in 1 year, he sells 6 times as many flowers in 6 years. 6 times f is the same as 6 * f, or simply 6f.

4 0
3 years ago
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Answer:

326.87

Step-by-step explanation:

5 0
2 years ago
Heyy can you please help me posted picture of question
vichka [17]
We can use quadratic formula to determine the roots of the given quadratic equation.

The quadratic formula is:

x= \frac{-b+- \sqrt{ b^{2} -4ac} }{2a}

b = coefficient of x term = 4
a = coefficient of squared term = 1
c = constant term = 7

Using the values, we get:

x= \frac{-4+- \sqrt{16-4(1)(7)} }{2(1)} \\  \\ &#10;x=  \frac{-4+- \sqrt{-12} }{2}   \\  \\ &#10;x= \frac{-4+-2 \sqrt{-3} }{2} \\  \\ &#10;x= -2+- \sqrt{-3}

So, the correct answer to this question is option A
7 0
3 years ago
How to reduce into simpler terms.?
Sveta_85 [38]

Answer:

The simplest form of the fraction \frac{45}{100}  is  \frac{9}{20}.

i.e.

\frac{45}{100}=\frac{9}{20}

Step-by-step explanation:

Here are some simple observations regarding how to reduce a fraction into simpler terms:

  • A fraction is reduced to lowest or simplest terms by finding an equivalent fraction in which the numerator and denominator are as small as possible.
  • In order to reduce a fraction to lowest or simplest terms, divide the numerator and denominator by their (GCF). Note that (GCF) is also called Greatest Common Factor .

So, lets take a sample fraction and reduce into simpler terms.

Considering the fraction

\frac{45}{100}

\mathrm{Find\:a\:common\:factor\:of\:}45\mathrm{\:and\:}100\mathrm{\:in\:order\:to\:cancel\:it\:out}

\mathrm{Greatest\:Common\:Divisor\:of\:}45,\:100:\quad 5

\mathrm{Factor\:out\:}5\mathrm{\:from\:the\:numerator\:and\:the\:denominator}

45=5\cdot \:9\mathrm{,\:\quad }100=5\cdot \:20

so

\frac{45}{100}=\frac{5\cdot \:\:9}{5\cdot \:\:20}

\mathrm{Cancel\:the\:common\:factor:}\:5

     =\frac{9}{20}

Therefore, the simplest form of the fraction \frac{45}{100}  is  \frac{9}{20}.

i.e.

\frac{45}{100}=\frac{9}{20}

4 0
3 years ago
If p = 5 and q = 3 evaluate , 4p - pq
Fynjy0 [20]

Answer:

5

Step-by-step explanation:

4p-pq=4.5-3.5=20-15=5

7 0
2 years ago
Read 2 more answers
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