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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।

MathematicsAn exam form has 4 centers and 3 time slots. If a student also has to choose one language from 2 languages, how many form options are possible?Class 11Permutations and CombinationsFundamental principle of countingEasy MathematicsA school badge can have one of 4 shapes, one of 3 colors, and one of 2 symbols. How many different badges can be made by choosing one of each?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsIn a stage program, 5 students are available for the first speaker and the remaining students are available for the second speaker. The same student cannot speak twice. How many ordered selections are possible?Class 11Permutations and CombinationsFundamental principle of countingEasy MathematicsIn a (5)-place code one color is chosen from (3) colors at each place. No two consecutive places should have the same color. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsA 4-place code uses the digits 0, 1, 2, 3, 4, 5, and 6. The first place cannot be 0, and repetition is allowed. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsUsing the digits 0, 1, 3, 5, and 7 without repetition, how many 3-digit odd numbers can be formed?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsUsing the digits 0, 1, 2, 3, 4, and 5 without repetition, how many 4-digit numbers can be formed?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsIn an exam, one question is chosen from Section A in 5 possible ways and one question from Section B in 6 possible ways. Then one of 2 presentation languages is chosen. How many combined choices are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsA student has to choose one main subject from 6 subjects, and the same subject cannot be chosen as the optional subject. The remaining 5 subjects are available for the optional subject. How many selections are possible?Class 11Permutations and CombinationsFundamental principle of countingEasy MathematicsA restaurant offers 4 starters, 5 main courses, and 3 desserts. A meal includes one starter and one main course, while dessert is optional. How many different meals can be chosen?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsThere are 3 routes from home to the market and 4 routes from the market to school. On the return journey, neither route segment may be the same one used on the outward journey. How many ways are there to travel from home to school and back home?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsA license plate has 3 distinct letters followed by 2 distinct digits. There are 6 letters and 5 digits available. How many different plates can be formed?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsA password must have 2 capital letters followed by 1 digit. There are 5 available letters and 4 available digits, and repetition is allowed. How many passwords are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsA code consists of 2 letters followed by 2 digits. The available letters are A, B, C, and D, and the available digits are 1, 2, and 3. If repetition is not allowed, how many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsHow many 4-digit odd numbers can be formed from the digits 1, 2, 3, 4, 5, and 6 without repetition?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsHow many 3-digit even numbers can be formed from the digits 0, 2, 4, 6, and 8 without repetition?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsHow many 3-digit even numbers can be formed from the digits 2, 3, 4, 5, 6, and 7 without repetition?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsHow many 3-digit numbers can be formed from the digits 0, 1, 2, 3, and 4 without repetition? The first digit cannot be 0.Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsHow many three-digit numbers can be formed from the digits 1, 2, 3, 4, and 5 without repetition?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsIn a (3)-letter code each place has (6) letter choices and repetition is allowed. How many codes can be formed?Class 11Permutations and CombinationsFundamental principle of countingEasy