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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 card is specified by a card type, a color, and a validity period. There are 4 card types, 5 colors, and 3 validity periods. For one particular card type, 2 of the colors are not allowed. How many valid cards are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA six-letter code uses only the letters A, B, C, D, and E. The first and sixth letters must be the same, and the second and fifth letters must be the same. Repetition is allowed. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsHow many four-digit odd numbers can be formed from the digits {0, 1, 2, 3, 4, 5, 6, 7, 8} without repetition?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA game avatar can have 1 of 5 faces, 1 of 4 hairstyles, 1 of 3 costumes, 1 of 2 weapons, and 1 of 6 backgrounds. How many different avatars can be made?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA round trip goes from A to B to C to D and then returns from D to C to B to A. There are 3 trains from A to B, 5 from B to C, and 4 from C to D. On the return journey, the train used between C and D must not be used again; there are no other restrictions. How many round trips are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA student chooses a main subject, a supporting subject, and an extra subject from 7 optional subjects. All three must be different, and their roles matter. How many choices are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA five-place password is made using 6 available symbols. The first two places must contain different symbols, and the last two places must contain the same symbol. Repetition is allowed in other positions. How many passwords are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA student chooses one language from (4) languages one project from (5) projects and one presentation mode from (3) modes. How many ways are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA three-digit number is formed with the hundreds digit chosen from {2, 4, 6}, the units digit chosen from {2, 3, 5, 7}, and the tens digit chosen from 0 to 9. Repetition is allowed. How many numbers can be formed?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA product has (5) models (4) colors (6) storage options and (2) warranty plans. How many product options are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsAn 8-letter set includes M and N. A 3-letter code uses each letter at most once, and its first letter is fixed as M. The last letter cannot be N. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsIn a class there are (8) boys and (6) girls. One boy monitor one girl co-monitor and one house from (3) houses are to be chosen. How many ways are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA 4-digit number is formed with its first two digits chosen from 1, 2, 3, 4 and its last two digits chosen from 5, 6, 7, 8, 9. Repetition is not allowed within either pair. How many numbers are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA 4-place signal is formed as follows: the first place is chosen from 5 colors, the second and third places use different shapes chosen from 6 shapes, and the fourth place is chosen from 4 icons. How many signals are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA shopkeeper has 6 packet types and 8 label types. Four specific packet-label pairs are not allowed. Each allowed pair is available in 3 sizes. How many valid options are there?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsIn a (7)-place binary string only (0) and (1) are used. The first and last places must be (1). How many strings are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsIn an experiment, 3 coins are tossed and then 2 dice are rolled. How many total outcomes are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA student chooses one chapter from (6) chapters one question from (7) questions and one level from (3) difficulty levels. How many selections are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsUsing the digits 1–9, form 4-digit numbers without repeating any digit. The number must be greater than 6000. How many numbers are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsAn exam portal lets a user choose from 6 classes, 5 subjects, 4 test types, 3 modes, and 2 time slots. How many test options are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium

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