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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।

MathematicsIn a (5)-place binary string only (0) and (1) can be written. If the first place must be (1) how many strings are possible?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 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 MathematicsAn exam hall has (6) rows and (7) seats in each row. How many total seats are there?Class 11Permutations and CombinationsFundamental principle of countingEasy MathematicsA cafe has (6) coffees (3) cup sizes and (2) sugar levels. In how many ways can one coffee one size and one sugar level be chosen?Class 11Permutations and CombinationsFundamental principle of countingEasy MathematicsA class notebook has (8) cover colors and (3) page types. In how many ways can one color and one page type be chosen?Class 11Permutations and CombinationsFundamental principle of countingEasy MathematicsA computer set has (7) keyboard options and (2) mouse options. In how many ways can one keyboard and one mouse be chosen?Class 11Permutations and CombinationsFundamental principle of countingEasy MathematicsA game avatar has 2 face options, 4 hat options, and 3 costume options. In how many ways can one complete avatar be created?Class 11Permutations and CombinationsFundamental principle of countingEasy MathematicsA pen drive color is chosen from (3) options and capacity from (4) options. How many total models can be formed?Class 11Permutations and CombinationsFundamental principle of countingEasy MathematicsA student chooses only one course from (6) online courses or (3) offline courses. How many total choices are there?Class 11Permutations and CombinationsFundamental principle of countingEasy MathematicsA cafe has 3 types of tea, 4 types of coffee, and 2 types of juice. In how many ways can exactly one drink be chosen?Class 11Permutations and CombinationsFundamental principle of countingEasy MathematicsHow many (3)-digit even numbers can be formed from digits (0,1,2,3) without repetition?Class 11Permutations and CombinationsFundamental principle of countingEasy