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Nina [5.8K]
3 years ago
10

In how many ways can a password be made using four letters from the 26 letter English alphabet letters can’t be repeated

Mathematics
1 answer:
valentinak56 [21]3 years ago
7 0

Answer:

If you go by normal method, no. of possible passwords that can be created with 26 alphabets are 26X26X26X26 = 456,976

Step-by-step explanation:

. If you do not want to repeat the alphabets, you can use combinations. i.e. C(26, 4) or 26C4 = 358,800 ways

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DJ Davon is making a playlist for work; he is trying to decide what 12 songs to play and in what order they should be played. If
Marta_Voda [28]

Answer:

3.63 * 10^19

Step-by-step explanation:

Given that :

Number of choices to select = 12

Category available :

Blues - 14

Country - 25

Disco - 21

To select an equal number of song for each category ; then 4 songs will be selected from each :

Using combination :

(14C4 * 25C4 * 21C4)

Since the order matters for the 12 selected songs ; it thus requires 12 permutation

Thus ;

(14C4 * 25C4 * 21C4) * 12!

nCr = n! / (n-r)!r!

Using calculator;

14C4 = 1001 ;

25C4 = 12650

21C4 = 5985

12! = 479001600

Hence,

(1001 * 12650 * 5985) * 479001600

= 36301596217286400000

=3.63 * 10^19

5 0
3 years ago
Which objects are luminous orange ball, some dogs, lamp, computer screen
GuDViN [60]

From the information given, the objects that are luminous are lamp and computer screen.

Luminous objects simply refer to the objects that generate their own light. It should be noted that illuminated objects can reflect light into the eyes of a person.

From the options given, the luminous objects are lamp and computer screen. This is because both objects can produce their own light which can reflect into one's eyes.

Learn more about luminous objects on:

brainly.com/question/10393210

6 0
3 years ago
Add. (5y - 1) + (-2y + 4)
MArishka [77]
The correct answer would be, "3y+3".

Hope I helped!
7 0
4 years ago
7. A clothing salesman wants to earn $6,000 in May. He receives a base salary of $4,000 per month as well as 10%
olya-2409 [2.1K]

Answer:

No of clothes to be sold to gain $6000=20,000

Given:

Base salary = $4000

Rate of Commission = 10%

Amount salesman wants to earn in May = $6000

To find:

How much clothing units needed to be sold in order gain $6000 in may

<u>Step by Step Explanation: </u>

Solution;

According to the formula;

\text { Amount earned through commission }=\text { Total amount earned - Base salary }

=6000 - 4000 = 2000

Also we know,  

\text { Amount earned through commission }=\text { Rate of Commission } \times \text { clothing to be sold }

Let the commission amount be x

10 \% \times x=2000

10 / 100 \times x=2000

0.1 \times x=2000

x=20,000 \div 0.1

x=20,000

Result:

Hence, the clothing to be sold in order to earn $6000 is 20,000 units.

4 0
4 years ago
Find two consecutive even integers such that the square of the second, decreased by twice the first is 52
Fiesta28 [93]

Let the first integer be x. So, the next even number is x+2

Let's translate the formula: the square of the second is (x+2)^2, twice the first is 2x. So, the equation is

(x+2)^2 - 2x = 52

Expand the square to get

x^2+4x+4-2x = 52 \iff x^2+2x+4 = 52 \iff x^2+2x - 48 = 0

The solutions to this equations are

x = -8,\quad x = 6

So, the possible consecutive even numbers are

-8\text{ and } -6\quad\text{or}\quad 6\text{ and } 8

8 0
3 years ago
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