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
Leonard uses 3 peach slices and 1 banana for his fruit parfaits. If he used 42 peach slices to make parfaits for his friends, ho
Naddika [18.5K]

Answer:ez 26

Step-by-step explanation: how do you not know this

5 0
3 years ago
Read 2 more answers
What is 10+10+10+10+10+10?
Alexxx [7]

Answer:

6000..............

Step-by-step explanation:

lol

3 0
3 years ago
Read 2 more answers
HELP giving brainlest and more points
Aleksandr [31]

Answer:

the answer is 7.2 10³

Step-by-step explanation:

7.2 10³

6 0
3 years ago
Read 2 more answers
Consider this sphere inside the cylinder. A sphere is inside of a cylinder with a same radius and height. Which statements are t
sashaice [31]

Answer:

A,C,E

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the value of x?
user100 [1]

Answer:

1/2

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable

7 0
3 years ago
Read 2 more answers
Other questions:
  • A rectangular greenhouse has an area of 6,480 square meters. Its length is 120 meters.
    9·2 answers
  • What is 22 percent of 400?
    6·2 answers
  • Math question<br> see if you're able to help!!!<br>*plz explain*
    15·1 answer
  • Use proportional reasoning to determine the value of a in the proportion shown below.
    14·2 answers
  • Pls help !<br> i need help with all 3 questions quick
    7·1 answer
  • Figure B is a scaled copy of Figure A
    10·1 answer
  • How many factors are in a B + CD + EF + GH
    14·1 answer
  • Please help me giving brainlest
    10·2 answers
  • The sum of the digits of a two-digit number is 12. The number formed by reversing the digits is 54 more than the original number
    14·1 answer
  • Divide and simplify. √128/8
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!