Question

In: Advanced Math

consider “COLLEGEOFENGINEERING” a) How many permutations are there total? b) How many permutations start and end...

consider “COLLEGEOFENGINEERING”

a) How many permutations are there total?

b) How many permutations start and end with vowels?

c) How many permutations do NOT have consecutive vowels in them?

d) How many permutations contain the vowels in order (all Es before All Is before all Os)?

e) How many permutations contain the substring "GINGER"?

Solutions

Expert Solution


Related Solutions

Consider arrangements of the letters NEWBIT. How many arrangements start or end with a vowel?
Consider arrangements of the letters NEWBIT. How many arrangements start or end with a vowel?
1. a. How many permutations are there of the letters {A,B,C,D,E,F}? Of there, how many are...
1. a. How many permutations are there of the letters {A,B,C,D,E,F}? Of there, how many are even? b. Express the permutation BAFEDC in P6 in cycle notation and determine whether it is even or odd. c. Determine the composition BAFEDC*BCAFDE in P6. Is the composition even or odd? d. What is the members of P6 whose cycle notation (1345)(26)?
7) (a) (2 pts) How many permutations are there of the word QUARANTINE? (b) (4 pts)...
7) (a) (2 pts) How many permutations are there of the word QUARANTINE? (b) (4 pts) How many of the permutations of QUARANTINE do NOT the same letter appearing consecutively? (Thus, any permutation with the substring "AA" should not be counted and any permutation with the substring "NN" should not be counted.) (c) (6 pts) A mountain permutation is defined as one where the first portion of the permutation has letters in strictly increasing alphabetical order, and the second portion...
(Circular Permutations) In how many ways can 7 people { A, B, C, D, E, F,...
(Circular Permutations) In how many ways can 7 people { A, B, C, D, E, F, G } be seated at a round table if (a) A and B must not sit next to each other; (b) C, D, and E must sit together (i.e., no other person can sit between any of these three)? (c) A and B must sit together, but neither can be seated next to C or D. Consider each of these separately. Hint: Conceptually, think...
How many bit-strings are there of length 128 that either start with 1111 or end with...
How many bit-strings are there of length 128 that either start with 1111 or end with 0000 but not both?
1. How many permutations of the 26 letters are there that contain none of the sequences...
1. How many permutations of the 26 letters are there that contain none of the sequences ROCK, STONE, PLUG, FIT or HAY?
Consider arranging the letters of FABULOUS. (a). How many different arrangements are there? (b). How many...
Consider arranging the letters of FABULOUS. (a). How many different arrangements are there? (b). How many different arrangements have the A appearing anywhere before the S (such as in FABULOUS)? (c). How many different arrangements have the first U appearing anywhere before the S (such as in FABULOUS)? (d). How many different arrangements have all four vowels appear consecutively (such as FAUOUBLS)? I am stuck with b , c and d
How many permutations of the letters ABCDEFGHIJKLM do not contain the strings “BAD” or “DIG” or...
How many permutations of the letters ABCDEFGHIJKLM do not contain the strings “BAD” or “DIG” or “CLAM” consecutively? (Hint: Inclusion-exclusion and subtraction). **I KNOW THE ANSWER IS NOT 13! - 11! - 11! - 10! ** - please do not give that as one.
How many ways can you create 3 letter permutations from MISSISSIPPI?
How many ways can you create 3 letter permutations from MISSISSIPPI?
How many different permutations are there of the numbers 1, 2, 3, 4, 5 so that...
How many different permutations are there of the numbers 1, 2, 3, 4, 5 so that the even numbers and the odd numbers alternate in the list?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT