(i) The A in the third position is the first A in the word:
Case 1:- If Second A position on 4th place:
No. of ways 3*3*1*1*3*3*3*3*3*3 =6561
Case 2:- If Second A position on 5th place:
No. of ways 3*3*1*2*1*3*3*3*3*3 =4374
Case 3:- If Second A position on 6th place:
No. of ways 3*3*1*2*2*1*3*3*3*3 =2916
Case 4:- If Second A position on 7th place:
No. of ways 3*3*1*2*2*2*1*3*3*3 =1944
Case 5:- If Second A position on 8th place:
No. of ways 3*3*1*2*2*2*2*1*3*3 =1296
Case 6:- If Second A position on 9th place:
No. of ways 3*3*1*2*2*2*2*2*1*3 =864
Case 7:- If Second A position on 10th place:
No. of ways 3*3*1*2*2*2*2*2*2*1 =576
(ii) The A in the third position is the second A in the word:
Case 8:- If first A position on 1st place:
No. of ways 1*2*1*3*3*3*3*3*3*3 =4374
Case 9:- If first A position on 2nd place:
No. of ways 3*1*1*3*3*3*3*3*3*3 =6561
TOTAL WAYS = Case 1+2+3+4+5+6+7+8+9 =29466 ways
There are two copies of the letter A and an unlimited supply of the letters B,...
Solve it in Python 4. An alternade is a word in which its letters, taken alternatively in a strict sequence, and used in the same order as the original word, make up at least two other words. All letters must be used, but the smaller words are not necessarily of the same length. For example, a word with seven letters where every second letter is used will produce a four-letter word and a three-letter word. Here are two examples: "board":...
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?
Q3. Suppose a language containing five letters: A, B, C, D, E (5%) (b) How many four-letter words can you form if each letter appears only once in each word? (5%) (c) What is the probability that a three-letter word (with each letter appearing only once) con (a) How many three-letter words can you form in this language? tains E? (5%)
I have 4 questions dont know can anyone help me with any of
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A code word consists of 2 letters followed by 7 digits. The first letter must be and an A or a w and the last digit cannot be zero. Find the total number of code words possible for the following conditions. 7) Letters can be repeated but not digits Letter cannot be repeated but digits can a. b. 8) A store manager wishes to display 10 different f food in a row In how many
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Consider passwords of length 8 using symbols from the set of lower case letters: {a, b, c, ..., z}. (a) How many such passwords use the letter p exactly two times and the letter q exactly two times? To illustrate, both akpqbqop and quaqpoop satisfy this condition. Include a brief indication of your strategy. (b) How many such passwords use the letter p exactly once and the letter q exactly once and also have letters arranged so the p is...
42. Consider the following puzzle. You are to pick out 4 three-letter "words" from the tollowing list: DBA DEG ADI FFD GHI BCD FDF BAI For each word, you earn a score equal to the position that the word's third letter appears in the alphabet. For example, DBA earns a score of 1, DEG earns a score of 7, and so on. Your goal is to choose the four words that maximizes your total score, subject to the following constraint:...