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Class 11 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

Mathematics(10) identical coins are to be distributed among (4) children. Each child must get at least (1) coin, and the eldest child can get at most (4) coins. How many distributions are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 52ExpertMathematics(8) persons are to be seated around a circle. Between two particular persons, there must be exactly (2) persons in one direction. How many arrangements are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 52ExpertMathematics(5) boys and (4) girls are to be seated in (9) positions in a row. Girls can sit only in odd-numbered positions. How many arrangements are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 52ExpertMathematicsA registration number has first (2) distinct letters followed by (4) digits. Letters are chosen from (6) available letters. In the digits, exactly one pair must be equal and the other two digits must be different from it and from each other. How many registration numbers are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 52ExpertMathematicsUsing digits (0,1,2,3,4,5,6,7,8,9), how many (8)-digit numbers can be formed without repetition if both (0) and (5) occur, but neither is at an end?Class 11Permutations and CombinationsFundamental principle of countingLevel 52ExpertMathematicsHow many solutions does (x_1+x_2+x_3+x_4=12) have if (x_1 \ge 2), (x_2) is positive odd, (0 \le x_3 \le 4), and (x_4 \ge 0)?Class 11Permutations and CombinationsFundamental principle of countingLevel 52ExpertMathematics(8) persons are to be seated around a circle. Two particular persons must sit together, but a third particular person must not sit next to either of them. How many arrangements are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 52ExpertMathematics(5) distinct prizes are to be distributed among (3) students. Each student must receive at least one prize. How many ways are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 52ExpertMathematicsA password has (6) positions. Exactly (3) letters and (3) digits are used from (5) letters and (5) digits without repetition. The first and last positions cannot both be digits. How many passwords are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 52ExpertMathematicsIn a grid, one moves from ((0,0)) to ((5,4)) using only right and up moves. The path must not pass through either ((2,2)) or ((4,3)). How many paths are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 52ExpertMathematicsHow many binary strings of length (10) have exactly (4) ones, no two ones adjacent, and the first position equal to (0)?Class 11Permutations and CombinationsFundamental principle of countingLevel 52ExpertMathematics(6) speakers are to speak in order on a stage. Of two particular speakers, one must be in the first three positions and the other must be in the last three positions. How many speaking orders are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 54HardMathematicsA question paper has (5) questions in section (A) and (6) questions in section (B). A student must attempt (6) questions with at least (2) from section (A) and at least (3) from section (B). In how many ways can the selection be made?Class 11Permutations and CombinationsFundamental principle of countingLevel 54HardMathematicsUsing digits (0,1,2,3,4,5,6,7), how many (3)-digit numbers can be formed without repetition such that the hundreds digit is greater than the units digit?Class 11Permutations and CombinationsFundamental principle of countingLevel 54HardMathematicsA game has (5) distinct red and (4) distinct blue cards. A sequence of (4) cards is to be made such that the first and last cards have different colours. How many sequences are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 54HardMathematicsA password has (5) distinct letters. They are to be arranged so that exactly (2) letters lie between two particular letters. How many arrangements are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 54HardMathematicsThree distinct prizes are to be awarded to seven students. No student can receive more than one prize. How many ways are possible?Class 11Permutations and CombinationsPermutationsLevel 54MediumMathematicsA shop has (4) types of pens and (3) types of notebooks. A student buys (2) distinct pens and (2) distinct notebooks. How many selections are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 54HardMathematics(8) distinct objects are to be placed in (3) empty positions, with at most one object in each position. How many ways are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 54HardMathematicsFrom (5) teachers and (6) students, a group of (4) persons is to be formed with at least (1) teacher and at least (2) students. How many groups are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 54Hard