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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।

MathematicsFrom (8) men and (6) women, a committee of (6) members is to be formed with exactly (3) women. After forming the committee, a chairperson and a secretary are chosen distinctly. How many ways are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsHow many binary strings of length (7) have exactly (4) zeros and no occurrence of (3) consecutive zeros?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematics(5) children are to be seated on (5) assigned chairs. Exactly (2) children must sit on their assigned chairs. How many arrangements are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsUsing digits (1,2,3,4,5,6,7,8,9), how many (6)-digit numbers can be formed without repetition such that the sum of the first (3) digits equals the sum of the last (3) digits?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsThe (8) distinct letters (A,B,C,D,E,F,G,H) are to be arranged in a row. The letters (A), (B), (C) must appear in this relative order, and (D) must not be at either end. How many arrangements are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematics(5) boys and (5) girls are to be seated in a row so that genders alternate. How many arrangements are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematics(6) distinct projects are to be assigned to (4) teams. No team can receive more than (2) projects. How many assignments are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsA (7)-symbol code has (4) letters and (3) digits. It is formed from (6) letters and (5) digits without repetition. All digits must occupy consecutive positions. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematics(3) numbers are to be selected from (1) to (20). Their product must be even and their sum must be odd. How many selections are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsUsing digits from (0) to (9), how many (4)-digit numbers can be formed without repetition, greater than (5000), and even?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematics(6) men and (4) women sit around a round table. No two women should sit together. How many arrangements are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsFrom (4) novels, (3) poetry books, and (5) drama books, (5) books are to be selected and arranged in a row. The selection must have exactly (2) poetry books and at least (1) novel. How many arrangements are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsA license code has (3) letters and (3) digits. Repetition is allowed among (7) letters, but not among digits (0) to (9). The sum of the digits must be odd. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsFrom the (20) cells of a (4 \times 5) grid, (3) cells are to be selected. No two selected cells should be in the same row or the same column. How many selections are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematics(10) delegates are to be arranged in a row. Three particular delegates must appear in a specified relative order, but not necessarily together. How many arrangements are possible?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsUsing letters (A,B,C) and digits (1,2,3,4), how many strings of (5) symbols can be formed if repetition is allowed, the first symbol is a letter, and the last symbol is a digit?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematics(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 countingExpertMathematicsUsing digits (1,2,3,4,5,6,7), how many (6)-digit numbers can be formed without repetition such that (1) is never immediately before (2)?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsHow many distinct arrangements of the letters of (COMMITTEE) are possible if all vowels are together?Class 11Permutations and CombinationsFundamental principle of countingExpertMathematicsFrom (6) engineers, (5) doctors, and (4) teachers, a team of (7) members is to be formed. The team must have exactly (2) doctors and at least (2) engineers. How many teams are possible?Class 11Permutations and CombinationsFundamental principle of countingExpert

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