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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 meal consists of one soup and one main dish, with an optional dessert. There are 4 soups, 6 main dishes, and 3 desserts. How many meal selections are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsThere are 3 routes from home to coaching and 5 routes from coaching to the library. On the return trip, neither route used on the outbound trip may be reused on its corresponding leg. How many round trips are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsUsing the letters A, B, C, D, E, and F without repetition, form 3-letter codes. The first letter cannot be A or B. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsA 5-place color code uses 4 available colors. No two consecutive places may have the same color. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsA password must have (3) letters and (1) digit in this order. (4) letters and (5) digits are available and repetition is allowed. How many passwords can be formed?Class 11Permutations and CombinationsFundamental principle of countingEasy MathematicsA four-place code has letters in its first two places and digits in its last two places. If 5 letters and 6 digits are available and repetition is not allowed, how many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsUsing the digits 0, 2, 3, 5, 7, and 8 without repetition, how many four-digit numbers can be formed if the first digit cannot be 0?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsUsing the digits 0, 1, 2, 3, 4, 5, and 6 without repetition, how many three-digit odd numbers can be formed?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsUsing the digits 1, 2, 3, 4, 5, 6, and 7 without repetition, how many three-digit even numbers can be formed?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsAn exam portal offers 3 classes, 5 subjects, and 4 test types. Each test type is available in 2 languages. How many class–subject–test-type–language combinations are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsA (2)-digit number from (10) to (99) is formed. The tens digit must be from (2,4,6,8) and the unit digit must be odd from (1,3,5,7,9). How many numbers are possible?Class 11Permutations and CombinationsFundamental principle of countingEasy MathematicsA shopkeeper has 4 types of packets and 6 types of labels. One packet and one label are to be chosen, but 2 distinct packet–label pairs are not allowed. How many valid choices are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsIn a (4)-place code the first place has (3) letter choices, the second has (4) digit choices, the third has (2) symbol choices and the fourth has (5) color choices. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingEasy MathematicsA three-digit number is formed using distinct digits from 1, 2, 3, 4, 5, and 6. The number must be greater than 400. How many such numbers can be formed?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsIn a team there are (4) students for president and (4) students for secretary. The same student cannot take both posts. How many appointments are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsIn an experiment first a coin is tossed then a die is rolled and then one color is chosen from (3) colors. How many total outcomes are possible?Class 11Permutations and CombinationsFundamental principle of countingEasy MathematicsA student has to choose one chapter from (5) chapters and then one question from (6) questions of the chosen chapter. How many question selections are possible?Class 11Permutations and CombinationsFundamental principle of countingEasy MathematicsA mobile app has (3) themes (4) fonts and (5) icon sets. If a user chooses one each how many interfaces can be made?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsA 4-digit number is formed with digits from 1 to 5 in its first two places and digits from 6 to 9 in its last two places. Repetition is allowed. How many such numbers are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsIn a 3-letter code, both A and B are available, but the first place must be A. There are 6 letters in total and repetition is not allowed. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium