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Consider the string abbccddeee. Each letter in the string must be assigned a binary code satisfying the following properties: 1. For any two letters, the code assigned to one letter must not be a prefix of the code assigned to the other letter. 2. For any two letters of the same frequency, the letter which occurs earlier in the dictionary order is assigned a code whose length is at most the length of the code assigned to the other letter. Among the set of all binary code assignments which satisfy the above two properties, what is the minimum length of the encoded string? 
There are 6 tasks and 6 persons. Task 1 cannot be assigned either to person 1 or to person 2; task 2 must be assigned to either person 3 or person 4. Every person is to be assigned one task. In how many ways can the assignment be done?
There are 6 tasks and 6 persons. Task 1 cannot be assigned either to person 1 or person 2. Task 2 must be assigned to either person 3 or person 4. Every person is to be assigned one task. In how many ways can the assignment be done?
There are 5 tasks and 5 persons. Task-1 cannot be assigned to either person-1. or person-2. Task-2 must be assigned to either person-3 or person-4. Every person is to be assigned one task. In how many ways can the assignment be done?
There are six tasks and six persons. Task 1 cannot be assigned to either person 1 or 2, task 2 must be assigned to either person 3 or person 4. Every person has to be assigned a task. In how many ways can the assignment be done?
Read the following sentences and choose the correct option. (i) Variables can only take discrete values while Attributes can take continuous values. (ii) Variables can only take continuous values while Attributes take discrete value. (iii) Attributes and variables are dependent on each other. (iv) Width of an impeller blade is a variable but no. of defective blades in a lot is an attribute.
Which of the following statements is correct regarding the oxidation number of Oxygen? I. The oxidation number of Oxygen in most compounds is -2. II. When Oxygen is bonded to Fluorine in compounds like Oxygen difluoride and Dioxygen diflouride, the Oxygen is assigned an oxidation number of +2 and +2 respectively. III. In peroxide, an Oxygen atom is assigned an oxidation number of -1 and in Superoxide, each oxygen atom is assigned an oxidation number of -1/2.
In a certain number of days, 10 workers were assigned to complete a task. Since some of the workers have not worked all these days, only 25% of the task was completed after 15 days. From the 16th day onwards when all 10 started working, the percentage of the total work that was completed at the end of the assigned days was 62.5%. How many days were assigned initially?
The nine alphabets L, M, N, O, P, Q, R, S, and T are assigned to nine integers 1 to 9 not necessarily in the same order 4 is assigned to P. The difference between P and T is 5. The difference between N and T is 3. What is the integer assigned to N?
If there are a total of T = 100 shares to be divided among three processes, A, B and C. A is assigned 50 shares, B is assigned 15 shares and C is assigned 20 shares. A will have ______ percent of the total processor time.