Three colored flags permit generating codes via: I. A single flag, II. Any two flags in sequence, III. Three flags in sequence. What is the maximum number of codes.
Show answer Hide answer
Answer: C. 15
Explanation
Generating codes using a single flag provides three distinct options based on the available inventory. Forming sequences of two flags gives three times two equal to six possible arrangements. Arranging three flags in sequence gives three times two times one equal to six, totaling fifteen codes. Combinatorics rules allow adding mutually exclusive event counts together to find the total options. Permutation formulas calculate the number of ordered sequences possible from a set of items. Sequential code generation multiplies the available choices at each consecutive position.
Signaling protocols in maritime navigation use flag combinations to transmit coded distress messages. Computer scientists generate character strings and passwords using finite sets of symbols. Event organizers create identification codes using colored badges arranged in specific sequences. Option a counts only the single flag and partial sequence options while missing combinations. Option b accounts for single and two flag codes but omits the three flag sequences. Option d overestimates the total by miscounting the number of three flag arrangements.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
Related questions
Q1. An amount grows by 60% in 6 years at S.I. What is the C.I. on Rs. 12,000 over 3 years at the same rate?
Show answer Hide answer
Answer: C. Rs. 3972
A sixty percent increase in six years at simple interest indicates a ten percent annual interest rate. Applying this ten percent annual interest rate to twelve thousand rupees over three years under compound interest. Ca...
Q2. Three 6-sided dice are rolled simultaneously. What is the probability that no two dice display the same number__________?
Show answer Hide answer
Answer: B. 5/9
The total number of possible outcomes when rolling three six-sided dice is six cubed, or 216. The number of favorable outcomes where all three dice show distinct numbers is calculated as six times five times four. Dividi...
Q3. Three election candidates received 1136, 7636, and 11628 votes respectively. What vote percentage did the winner secure?
Show answer Hide answer
Answer: D. None of these
Summing the individual vote counts of eleven thirty-six, seven_thousand six thirty-six, and eleven_thousand six twenty-eight gives a total of twenty thousand four hundred votes. Dividing the winner's vote count of eleven...
Q4. The true discount on Rs. 1760 due after a certain time at 12% per annum is Rs. 160. What is the time period:
Show answer Hide answer
Answer: D. 10 months
True discount represents the simple interest on the present worth of a bill due at a future date. Subtracting the true discount of one hundred sixty from the bill amount gives a present worth of sixteen hundred. Applying...
Q5. Three numbers in a 1:2:3 ratio have an H.C.F of 12. Find the numbers__________?
Show answer Hide answer
Answer: D. 12, 24, 36
Multiplying each term in the given ratio of 1 to 2 to 3 by the highest common factor of 12 scales the numbers. Performing the multiplication gives 1 times 12, 2 times 12, and 3 times 12 respectively. The resulting number...
Q6. Three numbers in a 3:4:5 ratio have an L.C.M of 2400. Find their H.C.F:
Show answer Hide answer
Answer: A. 40
Numbers in a three to four to five ratio can be expressed as three h, four h, and five h where h is their highest common factor. The least common multiple of numbers in this ratio is calculated by multiplying the ratio t...