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?

Expert Solution

milcah answered 1 year ago

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?

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.

Letters are pushed on a stack in order: R A N D O M O P...

Letters are pushed on a stack in order: R A N D O M O P S. Specify where to insert pop operations (shown by ‘*’) among the pushes of the given letters, in order to produce the output: ADONOMSPR . You can only do this process once. That is, you cannot take the output produced and then pass it again through the stack.

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?

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)?

1. m • (n • p) 2. (q ⊃ ~t) • (~m v q) 3. ~t...

1. m • (n • p) 2. (q ⊃ ~t) • (~m v q) 3. ~t ⊃ z : . z

Show that if P;Q are projections such that R(P) = R(Q) and N(P) = N(Q), then...

Show that if P;Q are projections such that R(P) = R(Q) and N(P) = N(Q), then P = Q.

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"?

give a constructive proof of fn = Q^n + P^n/ Q - P , where Q...

give a constructive proof of fn = Q^n + P^n/ Q - P , where Q is the positive root and P is negative root of x^2 - x - 1= 0 fn is nth term of fibonacci sequence, f1 = 1 f2, f3 = f2 +f1, ... fn= fn_1 +fn_2 , n>2

[02] For n ≥ 1, how many strings of length n using letters a,b,c are there...

[02] For n ≥ 1, how many strings of length n using letters a,b,c are there if the letter a must occur an even number of times?

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