Question

In: Advanced Math

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?

Solutions

Expert Solution


Related Solutions

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 permutations of the letters m, n, o, p, q contain the string mn or...
How many permutations of the letters m, n, o, p, q contain the string mn or the string mo or the string op-last year exam?
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)?
*PERMUTATIONS* How many tablets of 3 letters and 3 numbers can we form with the letters...
*PERMUTATIONS* How many tablets of 3 letters and 3 numbers can we form with the letters {A, B, C, D, E} and the 10 digits if the tablet should have: ◦ Letters and numbers should be kept together without repetition? ◦ Letters and numbers should be kept together with repetition? ◦ Letters and numbers do not have to be kept together without repetition? ◦ Letters and numbers do not have to be kept together with repetition?
A seqstring is a sequence of 18 letters(one of the 26 lowercase letters a-z). How many...
A seqstring is a sequence of 18 letters(one of the 26 lowercase letters a-z). How many seq strings are there where the number of letters between any two occurences of the same letter is at least 2?
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"?
If all permutations of the letters of the word "BEFORE" are arranged in the order as...
If all permutations of the letters of the word "BEFORE" are arranged in the order as in a dictionary. What is the 32 word?
Discrete Math: 7) How many 4-element DNA sequences.. a) Do not contain the base T? b)...
Discrete Math: 7) How many 4-element DNA sequences.. a) Do not contain the base T? b) Contain the sequence ACG? c) Contain all four bases A, T, C, and G? d) Contain exactly three of the four bases?
How many ±1-sequences of length n are there?For example, (1, −1, −1, 1) is not a...
How many ±1-sequences of length n are there?For example, (1, −1, −1, 1) is not a happy sequence, because although 1 ≥ 0 and 1 − 1 ≥ 0,the sum 1−1−1 is negative, so the condition fails for k = 3.
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