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3 years ago

How many ways can a 4 digit password be formed?

Mathematics

2 answers:

Stella [2.4K]3 years ago

8 0

We have 10 digits to choose 4 digits.
If repetition is allowed, we'd have 10 digits in the first slot, 10 digits in the second slot, and so on.
Hence, there are 10 000 ways to pick 4 digits.

Now, if repetition is not allowed, then we need to change the restrictions somehow.
If numbers cannot be repeated, then we can have 10 in the first slot, 9 in the second slot, 8 in the third slot, and 7 in the fourth slot, which makes 5040 ways.

If we want to understand this in permutations, then we have 10 objects to pick 4 different numbers, and so we can have 10P4 ways in forming a 4-digit password.

Alex_Xolod [135]3 years ago

3 0

it can be solved in over 9000 ways possibility

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Eight expressions are given below. Determine whether each expression is equivalent to 5^10 or not equivalent to 5^10.

KengaRu [80]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the 8 expressions are not given.

The general explanation is as follows

As complex as an expression may seem, you have to simplify each expression until it cannot be further simplified.

Then you categorize each result, depending on if it equals $5^{10}$ or not

Take for instance:

$5^5 * 5^5$

Using law of indices:

$5^5 * 5^5 = 5^{5+5$

$5^5 * 5^5 = 5^{10$ ---- equivalent

$\frac{5^5 + 5^5}{2 * 5^{-5}}$

Factorize the numerator

$\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5(1 + 1)}{2 * 5^{-5}}$

$\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5 * 2}{2 * 5^{-5}}$

Cancel out 2

$\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5}{5^{-5}}$

Apply law of indices

$\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{5--5}$

$\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{5+5}$

$\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{10$ ---equivalent

$125 * 78125$

Express as exponent

$125 * 78125 = 5^3 * 5^7$

Apply law of indices

$125 * 78125 = 5^{3+7$

$125 * 78125 = 5^{10$ ---- equivalent

$5^3 + 5^7$

Solve exponents

$5^3 + 5^7 = 125 + 78125$

$5^3 + 5^7 = 78250$ ---- not equivalent

4 0

3 years ago

PLEASEEEE HELLPPPP!!!!!!!

Snezhnost [94]

Answer:

Step-by-step explanation:

not really the answer but there’s an app called photo math. perfect for math equations it didn’t let me put it, but download it it’s free and it’s tell you what to do. only works for math.

6 0

3 years ago

Read 2 more answers

True or False: Angles. Only 3 questions you need to answer! Please help :/

spayn [35]

Answer:

false in all cases

Step-by-step explanation:

1) they are not supplementary ,cuz sum is not 180

2) false,cuz sum is not 90°

3) measure of AOB is not 60° and OC not bisecting them

4) measure of AOB is not 60° and OB not bisectijg AOC

✌️:)

5 0

3 years ago

Solve |x|+7<4 {x | x <-11 or x > -3} {x | -3 < x < 3} Ø

Blizzard [7]

Answer:

no solution

Step-by-step explanation:

4 0

3 years ago

Can someone PLEASE explain in simple terms which trigonometric ratio to use, like tangent, cosine, or sine, and WHY?

natulia [17]

Answer:

Use law of Cosines or Tangent

Step-by-step explanation:

This is a SAS triangle, where you have have an angle adjacent to two side lengths. But given that it is a right triangle, you can find the hypotenuse by just using the tangent formula. You can find the quantity of any angle by applying tan= opposite side/adjacent side length.

However, lets say you want to find the opposite side, side XZ, you can use the law of cosine which basically states:

c=a^2+b^2﹣2abcos(angle number). But since it is a right triangle, just use the hypotenuse theorem which states: C^2 = A^2 + B^2

The answer for XZ would thus be: squareroot of 136 or 2(34)^1/2.

Hope this helps :)

7 0

3 years ago