Find the number of distinguishable permutations of the letters in each word below. (a) bigger (b)...
Find the number of distinguishable arrangements of the letters of the worcd SEPTILLION
3. Consider rearranging the letters in the word "FATHER" (a) Find the number of 6 letter "words that can be formed by considering all possible permutations of the letters in the word "FATHER" (b) How many of these words begin with "F" and end with "R"? (c ) What is the probability of forming a six letter word that begins with F" and ends with "R" by randomly rearranging the letters in "FATHER?
three magazines? How many permutations of the letters of the word OUTSIDE have consonants in the first and last place? Compute: a) 9C4 b) 8P3
How many permutations can be made using all the letters in the word Connecticut?
7) Consider the permutations of the letters A, A, B, B as your sample space. After mixing these four letters compute the probability that we get the word ABBA.
The letters of “mississippi” are permuted randomly, with each distinguishable permutation equally likely. What is the probability that, in the resulting scrambled word, no four adjacent letters are all the same? That is, the four i characters cannot all be adjacent and the four s characters cannot all be adjacent. Give an exact answer as a simplified fraction.
4. Use PIE to find the number of permutations of the letters M, A, T, H, I, S, F,U, N in which none of the sequences “MATH”, “IS”, or "FUN” appear. (For example: MFAUITNHS is allowed, but NUFISATMH is not.)
Find the number of different arrangements of the letters in the word (CAVALRY) and illustrate linearly. (a) Ends with a vowel (b) Has a consonant in the middle
1. (a) How many distinguishable arrangements are there of the letters in BOOKKEEPER? (b) How many if the P and the R must be together? (C) How many if the B must be at the beginning and the R at the end?
A legislative committee consists of 7 Democrats and 9 Republicans. A delegation of 3 is to be selected to visit a small island republic. Complete parts (a) through (d) below. (a) How many different delegations are possible? The 3 delegates can be selected different ways. The number of possible permutations is 36036 If the n objects in a permutations problem are not all distinguishable—that is, if there are ny of type 1, n2 of type 2, and so on, for...