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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 3-letter code uses 7 available letters, with the first letter fixed as M. No letter may be repeated. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA class has 7 boys and 5 girls. In how many ways can one boy be chosen as monitor and one girl as co-monitor?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA 4-digit number is formed with its first two digits chosen from 1, 2, and 3, and its last two digits chosen from 7, 8, and 9. No digit may be repeated. How many numbers are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA 3-place signal is formed by choosing a color for the first place from 4 colors and shapes for the other two places from 5 shapes. A shape cannot be repeated. How many signals are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA shopkeeper has 5 types of packets and 7 types of labels. If 3 specific packet-label pairs are not allowed, how many valid packet-label combinations are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsIn a (6)-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 countingEasyMathematicsIn an experiment (2) coins are tossed first and then (1) die is rolled. How many total outcomes are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA student has to choose one chapter from (5) chapters and one question from (8) questions of the chosen chapter. Then one answer language is chosen from (2) languages. How many ways are possible?Class 11Permutations and CombinationsFundamental principle of countingEasyMathematicsA 3-digit number is formed using distinct digits from 2, 3, 4, 5, 6, 7, and 8. The number must be greater than 500. How many such numbers are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsAn online test has 5 subject choices, 4 difficulty levels, 3 time options, and 2 language options. How many different test settings are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA 4-letter code has 2 vowels followed by 2 consonants. There are 4 vowels and 6 consonants available, and no letter may be repeated. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA photo app has 5 filters, 4 frames, and 3 stickers. If you may choose no sticker or exactly one sticker, how many different looks can be made?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsUsing the digits 0, 1, 2, 3, 4, 5, 6, and 7 with repetition allowed, form 3-digit numbers less than 500. How many numbers 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 countingMediumMathematicsA student can buy one pen from (4) pens and one notebook from (5) notebooks or one pencil from (3) pencils. How many total options are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsIn a club (6) students are available for president and the same (6) students are available for secretary. The same student cannot hold both posts. How many appointments are possible?Class 11Permutations and CombinationsFundamental principle of countingEasyMathematicsA 4-place code has 3 letter choices for each of its first two places and 4 digit choices for each of its last two places. Repetition is allowed. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsUsing the digits 1, 2, 3, 4, 5, 6, 7, and 8 without repetition, form 2-digit numbers greater than 60. How many numbers are possible?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 countingMediumMathematicsA 4-digit PIN uses the digits 0, 1, 2, 3, 4, and 5. The first digit cannot be 0, and repetition is allowed. How many PINs are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium

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