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Binomial Coefficient

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

MathematicsFrom (15) candidates (5) prize winners are to be selected and all prizes are identical. How many ways are there?Class 11Permutations and CombinationsCombinationsHardMathematicsA group contains n distinct objects. If r objects are to be selected and one specified object must be included, which expression represents the number of selections?Class 11Permutations and CombinationsCombinationsHardMathematicsIf (\binom{n}{2}=153), what is the value of (n)?Class 11Permutations and CombinationsCombinationsHardMathematicsFrom (10) boys and (8) girls (6) students are to be selected with exactly (4) boys. How many ways are there?Class 11Permutations and CombinationsCombinationsHardMathematicsFrom (13) candidates (5) prize winners are to be selected and all prizes are identical. How many ways are there?Class 11Permutations and CombinationsCombinationsHardMathematicsIf (\binom{n}{5}=\binom{n}{9}), what will be the value of (n)?Class 11Permutations and CombinationsCombinationsHardMathematicsIf (\binom{n}{2}=120), what is the value of (n)?Class 11Permutations and CombinationsCombinationsHardMathematicsFrom (10) players (4) players are to be selected. One captain is already fixed and must not be selected. How many ways are there?Class 11Permutations and CombinationsCombinationsMediumMathematicsFrom numbers (1) to (22), how many ways are there to choose (4) even numbers?Class 11Permutations and CombinationsCombinationsMediumMathematicsFrom (9) men and (7) women a committee of (6) persons is to be formed with exactly (2) men. How many ways are there?Class 11Permutations and CombinationsCombinationsMediumMathematicsWhat is the correct interpretation of the identity \,\(\binom{n}{r}=\binom{n}{n-r}\)\, in combinations?Class 11Permutations and CombinationsCombinationsMediumMathematicsFrom (9) players (4) players are to be selected. One captain is already fixed and must not be selected. How many ways are there?Class 11Permutations and CombinationsCombinationsMediumMathematicsWhich of the following statements about combinations is always true?Class 11Permutations and CombinationsCombinationsMediumMathematicsIf (\binom{n}{2}=78), what is the value of (n)?Class 11Permutations and CombinationsCombinationsMediumMathematicsFrom (7) boys and (5) girls (5) students are to be selected with exactly (3) boys. How many ways are there?Class 11Permutations and CombinationsCombinationsMediumMathematicsFrom (8) players (3) players are to be selected. One captain is already fixed and must not be selected. How many ways are there?Class 11Permutations and CombinationsCombinationsMediumMathematicsIf (\binom{n}{2}=66), what is the value of (n)?Class 11Permutations and CombinationsCombinationsMediumMathematicsFrom (8) different keys, (2) keys are to be selected and one particular key must not be selected. How many ways are there?Class 11Permutations and CombinationsCombinationsEasyMathematicsFrom (6) English and (5) mathematics books, (3) books are to be selected with no mathematics book. How many ways are there?Class 11Permutations and CombinationsCombinationsEasyMathematicsFrom (9) different prizes, (3) prizes are to be kept in an exhibition and one particular prize must not be kept. How many ways are there?Class 11Permutations and CombinationsCombinationsEasy

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