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
tiny-mole [99]
3 years ago
7

How many different letter permutations, of any length, can be made using the letters M O T T O (For instance, there are 3 possib

le permutations of length 1.)
Mathematics
1 answer:
Tatiana [17]3 years ago
5 0

Answer:

89

Step-by-step explanation:

Given that

2 O, 2 T and 1 M

Now based on this, the following ways are there  

1

Three ways i.e. {M,T,O}

2

XX or XY

XX in 2C1 = two ways i.e. {OO or TT}

XY in 3C2 × 2! = six ways

3

XXY or XYZ

XXY in 2C1 × 2C1 × 3! ÷ 2! = twelve ways

XYZ in 3C3 × 3! = six ways

4

XXYY or XXYZ

XXYY = 4! ÷ (2! × 2!) = six ways

XXYZ in 2C1 ×  4! ÷ 2! = twenty four ways

5

= 5! ÷ (2! ×2!)

= 120 ÷ 4

= 30

Therefore, the total is

= 3 + (2 +6)+ (12 +6) + (6 +24) + 30

= 89

You might be interested in
Which statement is true about the expression 7(2x 5)A. The expression has two factorsB. The expression has three factors.C. The
agasfer [191]
I think that the answer is a because you only have to terms after you distribute hope this helps you
7 0
3 years ago
Will mark as brainlist answer fast
Darina [25.2K]

Answer:

Pronoun

A pronoun is a word used to stand for a noun

6 0
3 years ago
A number multiplied by -8, subtracted from the sum of 14 and five times the number
Charra [1.4K]

Let us suppose the number is x. Now we try to make an algebraic expression going step by step.

Step 1:

Five times the number means 5 multiplied by x.

So it becomes 5x.

Step 2:

Sum of 14 and five times the number means 5x+14.

Step 3:

Number multiplied by -8 means -8x.

Step 4:

Subtract the expression in step (3) from expression in step (2)

5x+14-(-8x)

Now we can simplify it further,

5x+14+8x

Combining like terms,

13x+14

Answer: The final expression becomes 13x+14.

7 0
3 years ago
Read 2 more answers
Solve by taking the square root of both sides. 3(x+4)^2-24=0
VARVARA [1.3K]
<span>3(x+4)^2-24=0
</span>
<span>3(x+4)^2 = 24
</span>
<span>(x+4)^2 =  24/3
</span>
<span>(x+4)^2 = 8
</span><span>
</span><span>(x+4)² = (2√2)² ⇒ x+4 = 2√2 ⇒ x = 2√2 - 4
</span>


6 0
3 years ago
Read 2 more answers
It is almost the end of the grading period. I have 730 out of 880 points so far in my math class which means I currently have a
maksim [4K]
What is being asked here? Are they asking for the passing grade or the total with all the other 90 points added? I think it is A, 90%
7 0
3 years ago
Read 2 more answers
Other questions:
  • Which expression shows the result of applying the distributive property to -2(1/3x-1/5)
    15·1 answer
  • Please solve this -10+1/3y&gt;2/3
    12·1 answer
  • 1. (1/x^3)^2..plz help<br> 2.. (X^2/9)^2
    15·1 answer
  • For the past three months, Grace used her cell phone for 43 minutes, 62 minutes, and 57 minutes. How many minutes would she have
    9·1 answer
  • Which of the following is the solution set of the equation shown below? 2x(x+3)-5(x+3)=0​
    12·2 answers
  • Need help on this please someone help me
    5·1 answer
  • Write an equation of a line in point-slope form that has a slope of -2 and passes through (5, -1).
    13·1 answer
  • Mr. Fernández packed 31 red apples and 41 green apples into a box for a customer. He packed 8 boxes like this. Mr. Fernández use
    13·1 answer
  • At a rugby match,the ratio of children to adults us 2:3. there are 80 children in the crowd. each adult ticket costs £8. each ch
    6·1 answer
  • I need help and plz show your work to.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!