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Fundamental Counting Principle

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

MathematicsA question paper has (3) sections. A student must choose (2) questions from the first section with order, (1) from the second, and (1) from the third. The sections have (5,6,4) questions. How many ways are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsUsing (0,1,2,3,4,5), how many (4)-digit numbers divisible by (5) can be formed without repetition of digits?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsAn online test has (6) true-false questions. The response sheet must have exactly (4) correct answers, and the first question must be correct. How many response sheets are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA dictionary index has (3) positions. Each position can contain any of (7) letters. If at least two positions must contain the same letter, how many indices are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA bank PIN has (5) digits. The first digit cannot be (0), and the PIN must contain at least one digit (7). Digits may repeat. How many PINs are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA mobile unlock pattern uses (4) distinct points. The first point cannot be one of the (4) corner points. How many patterns are possible if there are (9) total points?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA student must choose one book from (4) mathematics books, (3) science books, and (5) language books. A language book is allowed only with one dictionary, and there are (2) dictionary types. How many valid selections are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsUsing digits (0,1,2,3,4,5) without repetition, how many four-digit numbers divisible by (5) can be formed?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA 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 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 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 countingMediumMathematicsAn auditorium has (5) blocks each block has (6) rows and each row has (8) seats. If the program has (2) shifts how many ways are there to choose one seat-shift?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA 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 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 bus ticket has (3) classes (7) rows and (4) seats in each row. How many total ways are there to choose one seat?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsAn exam has (5) sections and each section has (2) optional questions. One question must be chosen from each section. How many ways are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium

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