Question

How many permutations of the letters a, b, c, d, e, f, g, h have a...

How many permutations of the letters a, b, c, d, e, f, g, h have a next to b (in either order: ab or ba) and c not next to d?

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Number of permutations of n different things taken all at a time

The letters are a,b,c,d,e,f,g,h

Number of permutations having a next to b and c not next to d = (Number of permutations having a next to b) - (Number of permutations having a next to b and c next to d)

Number of permutations containing "ab" ( Take ab as a single unit and there are 6 other letters c,d,e,f,g,h )

Similarly, Number of permutations containing "ba"

So, Number of permutations having a next to b ...............(1)

Number of permutations containing "ab" and "cd"

Number of permutations containing "ab" and "dc"

Number of permutations containing "ba" and "cd"

Number of permutations containing "ba" and "dc"

So, Number of permutations having a next to b and c next to d ................ (2)

Number of permutations having a next to b and c not next to d

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
How many permutations of the set {A, B, C, D, E, F, G, H} a) Contain...
How many permutations of the set {A, B, C, D, E, F, G, H} a) Contain the string DEF? b) Contain the strings ABE and EFG? c)Have D next to C? d) Contain the strings DCB and BAD?
We have 1,2,3,4,5,6,7,8,a,b,c,d,e,f the numbers and letters are in order. How many permutations (arrangements) are there...
We have 1,2,3,4,5,6,7,8,a,b,c,d,e,f the numbers and letters are in order. How many permutations (arrangements) are there in a way that the order is maintained for numbers and the order is maintained for letters? Explain.
Find the number of permutations of a, b, c, d, e, f, g and h containing...
Find the number of permutations of a, b, c, d, e, f, g and h containing no piece ab, or cd, or acb.
1) How many permutations of the letters a, b, c, d, e do not contain the...
1) How many permutations of the letters a, b, c, d, e do not contain the string bde. 2) Of any five points chosen within an equilateral triangle whose sides have length 1, show that at least two of them are within a distance of 1/2 of each other.
Consider permutations of the 26-character lowercase alphabet Σ={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}. In how many of these permutations do a,b,c...
Consider permutations of the 26-character lowercase alphabet Σ={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}. In how many of these permutations do a,b,c occur consecutively and in that order? In how many of these permutations does a appear before b and b appear before c?
Consider lists of length 6 made from the letters A, B, C, D, E, F, G,...
Consider lists of length 6 made from the letters A, B, C, D, E, F, G, H. How many such lists are possible if repetition is not allowed and the list contains two consecutive vowels? How many integers between 1 and 1000 are divisible by 5? How many are not divisible by 5? How many integers between 1 and 9999 have no repeated digits? How many have at least one repeated digit?
Let letters A,B,C,D,E,F,G be used to form strings of length 4. How many strings of length...
Let letters A,B,C,D,E,F,G be used to form strings of length 4. How many strings of length 4 with repetitions contain A and B. How about without repetitions?
5 -letter "words" are formed using the letters A, B, C, D, E, F, G. How...
5 -letter "words" are formed using the letters A, B, C, D, E, F, G. How many such words are possible for each of the following conditions? a) No condition is imposed.   b) No letter can be repeated in a word. c) Each word must begin with the letter A. d) The letter C must be at the end.   e) The second letter must be a vowel.
how many distinguishable permutations of letters are possible using the letters in the word maryland? A....
how many distinguishable permutations of letters are possible using the letters in the word maryland? A. 20,160 B. 5,040 C. 40,320 D. 80,640
9. Let S = {a,b,c,d,e,f,g,h,i,j}. a. is {{a}, {b, c}, {e, g}, {h, i, j}} a...
9. Let S = {a,b,c,d,e,f,g,h,i,j}. a. is {{a}, {b, c}, {e, g}, {h, i, j}} a partition of S? Explain. b. is {{a, b}, {c, d}, {e, f}, {g, h}, {h, i, j}} a partition of S? Explain. c. is {{a, b}, {c, d}, {e, f}, {g, h}, {i, j}} a partition of S? Explain.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT