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Counting Principle

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 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 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 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 countingMediumMathematicsA 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 countingMediumMathematicsA 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 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 countingMedium

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