1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nasty-shy [4]
3 years ago
10

Find the number of permutations of the first 9 letters of the alphabet, taking 4 letters at a time.

Mathematics
2 answers:
Vinil7 [7]3 years ago
8 0

Solution-

First 9 letters of alphabet are- A,B,C,D,E,F,G,H,I

Total number of ways of selection of 4 letters from 9 alphabets = 9C4

=9!÷((4!).(9-4)!) = 9!÷(4!×5!) = (9×8×7×6)÷(24) = 126

The number of ways of arranging these 4 numbers = 4! = 24

∴ Total number of possible permutations = 9C4×4! = 126×24 = 3024

∴ option number 2 is correct.

Licemer1 [7]3 years ago
3 0

<u>Answer:</u>

3024

<u>Step-by-step explanation:</u>

The combinations to find the number of permutations of the first 9 letters of the alphabets, taking 4 letters at one time, are given by:

_nC_k

= \frac{_nP_k}{k!}

(\frac{n!}{k!(n-k)!} )

Here in this case,

n = 9 (the total number of letters);and

k = 4 (the numbers of letters taken at one time)

_9C_4 = (\frac{9!}{4!.5!})

9 . 8 . 7 . 6 . 5 .\frac{4!}{4!.5!}

9.8.7.6. \frac{5!}{5!}

9.8.7.6 = 3024

Therefore, the number of permutations of the first 9 letters of the alphabets is 3024.

You might be interested in
Do we use Pythagorean theorem to find missing sides or missing angles in a right triangle
Marina86 [1]
To find missing lengths of sides
hope this helped have a nice day

8 0
3 years ago
Chose the equivelent expression for the scenario. phillip mows lawns fro $15 each. if he moves 6 lawn every week for 8 weeks. ho
Ipatiy [6.2K]

Answer:

15 x 6 x 8

Step-by-step explanation:

total money is cost per lawn times number of lawns per week times number of weeks

cost per lawn is $15

number of lawns per week is 6

number of weeks is 8

so cost total money is 15 x 6 x 8 which is none of them

where did the 20 and 11 come from?

3 0
3 years ago
Plz Help ASAP<br>plz help me with #2. <br>Plz I'm begging u!!!!!!
Sergeu [11.5K]
$230 divided by 1/4 = 57.5
8 0
3 years ago
<img src="https://tex.z-dn.net/?f=%28x%5E3%2B4x%5E2-29x-56%29%2F%28x%2B7%29" id="TexFormula1" title="(x^3+4x^2-29x-56)/(x+7)" al
exis [7]

Answer:

The answer is x2 - 3x - 8.

Step-by-step explanation:

5 0
3 years ago
Excuse my doodle! please help!
vlabodo [156]

Answer:

f‐¹(x) = 4x² - 3, for x < 0.

Nice doodle :P

7 0
2 years ago
Other questions:
  • The students at Midtown Middle school sold flowers as a fundraiser in September and October. In October, they charged $1.50 for
    12·1 answer
  • Two candidates are running for mayor in a small town. The campaign committee for candidate A has been conducting weekly telephon
    13·1 answer
  • Who can help me with number 14
    10·2 answers
  • the batting wang xiu ying uses to fill quilts has a thermal conductivity rate of 0.03 watts per mater per celsius
    15·2 answers
  • A commuter has $245 in his computer savings account. This account changes by -$15 each week he buys a ticket. In one time period
    11·1 answer
  • Question 1: Paul leaves £4000 in the bank for two years.
    11·1 answer
  • Nine times the sum of a number and 4 is 2
    7·1 answer
  • The following is an equilateral triangle. Solve for y.
    14·1 answer
  • Pls help me asap pls is all im asking for people this is for a final nd like ye im stressin.
    12·1 answer
  • Write down an expression for the total cost of four pencils and two rubbers
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!