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
amid [387]
3 years ago
12

How many ways can six of the letters of the word ALGORITHM be selected 8. How many ways can the letters of the word ALGORITHM be

arranged in a be seated together in the row? and written in a row? row if the letters GOR must remain together (in this order)?
Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
3 0
<h2>Answer with explanation:</h2>

The number of letters in word "ALGORITHM" = 9

The number of combinations to select r things from n things is given by :-

C(n,r)=\dfrac{n!}{r!(n-r)!}

Now, the number of combinations to select 6 letters from 9 letters will be :-

C(9,8)=\dfrac{9!}{6!(9-6)!}=\dfrac{9\times8\times7\times6!}{6!\times3!}=84

Thus , the number of ways can six of the letters of the word ALGORITHM=84

The number of ways to arrange n things in a row :n!

So, the number of ways can the letters of the word ALGORITHM be arranged in a be seated together in the row :-

9!=362880

If GOR comes together, then we consider it as one letter,  then the total number of letters will be = 1+6=7

Number of ways to arrange 9 letters if "GOR" comes together :-

7!=5040

Thus, the number of ways to arrange 9 letters if "GOR" comes together=5040

You might be interested in
At noon, a submarine was located at 5/12 meters below
pickupchik [31]

Answer:

Step-by-step explanation: okay but

8 0
2 years ago
HELP!!!! NEED ANSWER ASAP!
Lilit [14]

Answer:

yes, its more than 600$ the answer is 700$ good luck and tell me if u got this right or wrong (if it's wrong, I'm sorry)

5 0
3 years ago
a television normally cost 1,420. Due to a store sale the television is now 1,022.40. What was the percentage taken off the tele
V125BC [204]
You would take the beginning number and subtract the second number then you would take the number you got and divide it by the first number.

1420-1022=y then y/1420
5 0
3 years ago
If two sides of a triangle are 9cm and 15cm in length, which could be the measure of the third side?
aliya0001 [1]

Answer:

The two sides of the triangle are 9 cm and 15 cm. Let the length of the third side is x. According to triangle inequalities, in a triangle sum of the two sides is must be greater than the third side. So, the length of the third side is less than 24 cm.

6 0
3 years ago
Read 2 more answers
Which sign makes the statement true 7 ? 7 2/5
kipiarov [429]
The answer would be < because that’s greater than
7 0
3 years ago
Other questions:
  • A Ferris wheel has a radius of 10 m, and the bottom of the wheel passes 1 m above the ground. If the Ferris wheel makes one comp
    13·1 answer
  • Find H.C.F. and L.C.M. of x3-y3, x2-y2 and (x-y) ?​
    7·1 answer
  • Is 21 to the square root of 2 rational or irrational
    13·1 answer
  • If 2x + 8 = 16 , what is the value of x + 4 ?
    5·2 answers
  • Which sentence is incorrect?
    7·2 answers
  • Nick rolls a fair dice 126 times.<br> How many times would Nick expect to roll an odd number?
    12·1 answer
  • Please help if you know geometry
    13·2 answers
  • 60 Benjamin bought 6.2 pounds of rice. Each pound cost<br> $0.90. How much did he spend on rice?
    12·1 answer
  • Simplify the expression 6(11+4−7h)
    5·2 answers
  • 2)<br> AY<br> RA<br> O positive<br> zero<br> O negative<br> O undefined
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!