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Fundamental Principle Of Counting

Class 11 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsA school trip has (4) buses (5) meal packs and (3) museum options. If one of each must be chosen how many plans are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA signal has 4 places, with 3 colors available at each place. The colors in the first and third places must be the same, and repetition is allowed. How many signals are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA cafe has (6) drinks. A customer may take only a drink or a drink with one snack from (4) snacks. How many options are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA code consists of 2 distinct digits followed by 2 distinct letters. The available digits are 0, 1, 2, 3, and 4, and the available letters are P, Q, R, and S. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA digital certificate has 4 title styles, 3 seals, 5 borders, and 2 signature colors. How many designs are possible?Class 11Permutations and CombinationsFundamental principle of countingEasyMathematicsA 4-digit number is formed using distinct digits from 0, 1, 2, 3, 4, 5, and 6. Its first digit cannot be 0, and its last digit must be odd. How many such numbers are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsIn a 3-question test, the first question has 4 options, the second has 5 options, and the third has 3 options. One answer must be chosen for each question. How many answer patterns are possible?Class 11Permutations and CombinationsFundamental principle of countingEasyMathematicsFirst and second prizes are awarded among 8 participants. No participant can receive both prizes. How many outcomes are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA 4-place PIN uses the digits 0, 1, 2, 3, and 4. The digits in the first two places must be different, while repetition is allowed in the remaining places. How many PINs are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA 3-digit number must be greater than 200 and less than 700. Its digits are chosen from 1, 2, 3, 4, 5, 6, 7, and 8 without repetition. How many such numbers are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA school card is specified by a card type, a color, and a validity period. There are 3 types, 4 colors, and 5 periods. Two colors are not allowed with one particular card type. How many valid cards are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA 5-letter code uses only A, B, C, and D. The first and last letters must be the same, and repetition is allowed. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsUsing the digits 0, 1, 2, 3, 4, 5, and 6 without repetition, how many 4-digit even numbers can be formed?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA game avatar can have 4 faces, 5 costumes, 3 weapons, and 2 backgrounds. How many different avatars can be made by choosing one of each?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA round trip goes from A to B to C and then back from C to B to A. There are 5 train services between A and B and 4 between B and C, available in either direction. On the return trip, the service between B and C must be different from the one used on the outward trip; the A–B service may be reused. How many round trips are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA student chooses one main subject and one supporting subject from (6) optional subjects. The two subjects must be different and order matters. How many selections are possible?Class 11Permutations and CombinationsFundamental principle of countingEasyMathematicsA 4-place password uses 5 available symbols. The first and second places must contain different symbols, but repetition is allowed in the other places. How many passwords are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA student has to choose one language from (3) languages and one project from (4) projects. If the student also chooses one presentation mode from (2) modes how many ways are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA 3-digit number is formed with its hundreds digit chosen from 2, 4, or 6, its units digit chosen from 1, 3, 5, or 7, and its tens digit chosen from 0 to 9. How many such numbers are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsAn exam portal offers 4 classes, 6 subjects, 5 test types, and 2 mediums. How many different test options are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium

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