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
SashulF [63]
3 years ago
5

How many "words" can be written using exactly five A's and no more than three B's (and no other letters)?

Mathematics
2 answers:
kakasveta [241]3 years ago
8 0

This is a problem of Permutations. We have 3 cases depending on the number of B's. Since no more than three B's can be used we can use either one, two or three B's at a time.

Case 1: Five A's and One B

Total number of letters = 6

Total number of words possible = \frac{6!}{5!*1!}=6

Case 2: Five A's and Two B's

Total number of letters = 7

Total number of words possible = \frac{7!}{5!*2!}=21

Case 3: Five A's and Three B's

Total number of letters = 8

Total number of words possible = \frac{8!}{5!*3!}=56

Total number of possible words will be the sum of all three cases.

Therefore, the total number of words that can be written using exactly five A's and no more than three B's (and no other letters) are 6 + 21 + 56 = 83

Anit [1.1K]3 years ago
6 0

Answer:

84

Step-by-step explanation

Case 1: Five A's and One B

Total number of letters = 6

Total number of words possible = 6

Case 2: Five A's and Two B's

Total number of letters = 7

Total number of words possible = 21

Case 3: Five A's and Three B's

Total number of letters = 8

Total number of words possible = 56

Case 4: Five A's and no B's

Total number of letters = 5

Total number of words possible = 1

Total number of possible words will be the sum of all three cases.

Therefore, the total number of words that can be written using exactly five A's and no more than three B's (and no other letters) are 1+6 + 21 + 56 = 84

You might be interested in
If a shopkeeper sells an article for $440 and loses 12% on the sale, find his cost price.
worty [1.4K]

Step-by-step explanation:

440÷100×12

52.8

440-52.8

387.2

MARK ME BRAINLIEST PLSSSSSS

4 0
3 years ago
49 percent of all people who buy running shoes don't run at all Assuming 340,000 people but running shoes how many will use them
Goryan [66]
173, 400

49% of people do not run; thus, 51 percent of people do.

51% * 340,000 = 173, 400
8 0
3 years ago
Read 2 more answers
Violet earned a score of 662 on Exam A that had a mean of 550 and a standard
jeyben [28]

Answer:

Step-by-step explanation:

662

8 0
3 years ago
What is the y-intercept of the graph below? A. (0, 4) B. (0, -2) C. (0,2) D. (0,4)
TEA [102]

Answer:

it's C (0,2)

Step-by-step explanation:

7 0
3 years ago
Fins the value of (15)^3 + (-9)^3 + (-6)^3 , without actually cubing the numbers​
Hatshy [7]

a³ + b³ + c³ + 3abc = ( a + b + c)(a² + b² + c² + ab + bc + ca)

if a + b + c = 0. then a³ + b³ + c³ = 3abc

here a + b + c = 15 + (-9) + (-6)

a + b + c = 15 - 15

a + b + c = 0

so a³ + b³ + c³ = 3abc

15³ + (-9)³ + (-6)³ = 3(15)(-9)(-6)

= 2430

so the answer is 2430

8 0
3 years ago
Other questions:
  • Unit: Proportional Relationships
    9·1 answer
  • You graph the function f(x)=-|×|-12
    12·2 answers
  • what fraction of the states in the southwest region shares a border with mexico is this fraction into simplest form
    11·1 answer
  • Solve for the value of X in 9^x+4(3^x+1)+27=0​
    5·1 answer
  • Which student most accurately described Lisa's motion? (5 points)
    15·2 answers
  • The original price of a jar of paint is$1.20 the store manager gets a 10 percent discount on orders of at least 50 jars of paint
    12·1 answer
  • Given below is the odd-number function. which of the following are equal to o(7)?
    15·2 answers
  • What is the simplified form of -(x-4)<br><br> -x-4<br> -x+4<br> X+4<br> X-4<br><br> Show your work
    6·1 answer
  • Here all the other ones .
    9·1 answer
  • SOMEONE PLEASE HELP ASAP!!!?? ILL GIVE U BRAINLIST
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!