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3 years ago

A computer password uses 5 letters where no letter may be repeated. How many passwords are possible?

Mathematics

2 answers:

Artemon [7]3 years ago

7 0

The correct answer is 26!/21!. I have turned this in and gotten a 100. Hoped this helped ya .

lora16 [44]3 years ago

4 0

Answer: 7893600

Step-by-step explanation:

Given: The number of digits used for computer password = 5

Number of letter in English alphabet=26

By using permutations, the required number of passwordssuch that there is no letter repeated is given by :-

$^{26}P_5=\frac{26!}{(26-5)!}\\\\=\frac{26\times25\times24\times23\times22\times21!}{21!}\\\\=26\times25\times24\times23\times22=7893600$

Hence, there area 7893600 passwords are possible.

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3 years ago

0.85 3/5 0.15 7/10 in order from least to greatest

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3 years ago

Read 2 more answers

Which radical expression is an irrational number? A. √ 121 B. √ 65 C. √ 36 D. √ 64

alina1380 [7]

We will verify each options

option-A:

$\sqrt{121}$

we can factor it

$\sqrt{121}=\sqrt{11*11}$

$\sqrt{121}=\sqrt{11^2}$

$\sqrt{121}=11$

so, this is not irrational.........Answer

option-B:

$\sqrt{65}$

Since, it can not be factored

so, this is irrational.........................Answer

option-C:

$\sqrt{36}$

we can factor it

$\sqrt{36}=\sqrt{6*6}$

$\sqrt{36}=\sqrt{6^2}$

$\sqrt{36}=6$

so, this is not irrational.........Answer

option-D:

$\sqrt{64}$

we can factor it

$\sqrt{64}=\sqrt{8*8}$

$\sqrt{64}=\sqrt{8^2}$

$\sqrt{64}=8$

so, this is not irrational.........Answer

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4 years ago

Read 2 more answers

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Answer:

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3 years ago

Find the ratio 2 1/2 to 6 1/2

ivanzaharov [21]

Answer:

The ratio 2 1/2 to 6 1/2 is

$\frac{5}{13}\\or\\5:13$

Step-by-step explanation:

Ratio:

In mathematics, a ratio is a relationship between two numbers indicating how many times the first number contains the second.

It is also the Fraction

For example, if a bowl of fruit contains eight apples and six kiwis, then the ratio of apples to kiwis is eight to six.

i.e 8:6, which is equivalent to the ratio 4:3.

Now here,

$2\frac{1}{2}=\frac{4+1}{2}\\\\2\frac{1}{2}=\frac{5}{2}\\\\and\\\\6\frac{1}{2}=\frac{12+1}{2}\\\\6\frac{1}{2}=\frac{13}{2}$

Ratio of 2 1/2 to 6 1/2

$\frac{\frac{5}{2}}{\frac{13}{2}} = \frac{5}{13}\ \textrm{The number 2 will be cancelled from Numerator and Denominator} \\\\Hence,\\Final\ Ratio\ is\ 5 :13$

$\frac{5}{13}$

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3 years ago