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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।

MathematicsA code has (3) letters and (2) digits. The (5) positions may contain letters and digits in any order. Using (5) letters and (4) digits without repetition, how many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA box has (5) white, (4) black, and (3) green balls. (4) balls are to be selected so that exactly (2) colours are present. How many selections are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsUsing letters (A,B,C,D,E,F), how many (4)-letter words can be formed without repetition such that (A) is included but (B) is not included?Class 11Permutations and CombinationsFundamental principle of countingHardMathematics(6) distinct letters are to be placed into (6) distinct envelopes. Exactly (1) letter must go into its correct envelope. How many ways are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA plate has (7) types of sweets. (5) sweets are to be selected with at least (2) special sweets included. If there are (3) special sweets, in how many ways can this be done?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA (5)-digit code is formed from (0,1,2,3,4,5) without repetition, and the first digit cannot be (0). If both (1) and (2) must appear in the code, how many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsFrom (8) players, a team of (4) including a captain is to be formed. One particular player must be in the team but must not be the captain. How many ways are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsUsing digits (1,2,3,4,5,6,7,8), how many (3)-digit numbers can be formed whose digits are in increasing order?Class 11Permutations and CombinationsFundamental principle of countingHardMathematics(4) distinct mathematics books and (3) distinct English books are to be arranged in a row. No two English books should be together. How many arrangements are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsHow many distinct arrangements can be made using all letters of the word (SCHOOL)?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsFrom (6) boys and (5) girls, a team of (5) members is to be formed in which the number of girls is more than the number of boys. How many teams are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA lock has (4) positions. Each position can have any digit from (0) to (9), but exactly (2) positions must contain the digit (7). How many lock codes are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA student chooses (4) practice days from (10) days. No two selected days should be consecutive. In how many ways can this be done?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA shelf has (4) distinct mathematics books, (3) distinct chemistry books, and (2) distinct biology books. If books of each subject must be kept together, how many arrangements are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsUsing digits (0,2,4,6,8,9), how many (4)-digit odd numbers can be formed without repetition?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsFrom (9) persons, a row of (4) persons is to be formed. Two particular persons must not sit together. How many rows are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsHow many arrangements of the letters of the word (NUMBER) are possible if (N) and (R) occupy the two ends?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsIn a \(3 \times 3\) grid, one moves from the top-left corner to the bottom-right corner using only right and down moves. How many shortest paths are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA code has (2) capital letters and (2) digits. Letters are chosen from (A,B,C,D), and digits from (0,1,2,3,4). Letters do not repeat but digits may repeat. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA menu has (5) starters, (6) main dishes, and (4) desserts. A meal has one item from each type, and the main dish must not be any one of (2) special items. How many meals are possible?Class 11Permutations and CombinationsFundamental principle of countingHard

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