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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 book code has (3) distinct consonants and (2) distinct digits. The first symbol is a consonant and the last symbol is a digit. Assume English has (21) consonants. How many codes can be formed?Class 11Permutations and CombinationsFundamental principle of countingExpert MathematicsIn a contest, a participant writes true or false for each of (5) questions. At least (1) answer must be true. How many answer patterns are possible?Class 11Permutations and CombinationsFundamental principle of countingExpert MathematicsA mobile lock has (4) distinct digits. The first digit cannot be (0) and the last digit must be even. How many locks can be formed?Class 11Permutations and CombinationsFundamental principle of countingExpert MathematicsA student makes a (6)-day study plan. Each day he studies one subject from Mathematics, Physics, or Chemistry, but he never studies the same subject on consecutive days. How many plans are possible?Class 11Permutations and CombinationsFundamental principle of countingExpert MathematicsAn exam code has (2) uppercase letters, (1) lowercase letter, and (2) digits in this order. Uppercase letters must be distinct, the lowercase letter has no restriction, and digits may repeat. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingExpert MathematicsA restaurant has (3) types of bread, (5) vegetables, and (4) desserts. A customer chooses either one full plate or only one dessert. How many choices are possible?Class 11Permutations and CombinationsFundamental principle of countingExpert MathematicsA website PIN has (5) digits. The first digit cannot be zero and exactly (2) positions must contain even digits. How many such PINs are possible?Class 11Permutations and CombinationsFundamental principle of countingExpert MathematicsA password has (4) letters and (2) digits. Letters may repeat, but the two digits are distinct and the first digit is not (0). How many passwords are possible?Class 11Permutations and CombinationsFundamental principle of countingExpert MathematicsA code is formed by writing (2) distinct vowels followed by (3) distinct digits. If digits are from (0) to (9), how many codes can be formed?Class 11Permutations and CombinationsFundamental principle of countingExpert MathematicsA (6)-letter code has letters from (M,N,O) in the first (2) positions and letters from (P,Q,R,S) in the last (4) positions. The first (2) positions have no repetition, while repetition is allowed in the last (4) positions. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingExpert MathematicsIn a (5)-slot lock, each slot contains a number from (1) to (4). At least one slot must contain (4). How many locks are possible?Class 11Permutations and CombinationsFundamental principle of countingExpert MathematicsA (4)-digit number is formed from (1,2,3,4,5,6,7,8). Exactly (1) digit must be from (1,2,3) and the remaining (3) digits from (4,5,6,7,8). No repetition is allowed. How many numbers are possible?Class 11Permutations and CombinationsFundamental principle of countingExpert MathematicsIn a (3)-subject exam, a student chooses one of (2) difficulty levels for each subject and one of (4) sets for each subject. How many exam profiles are possible?Class 11Permutations and CombinationsFundamental principle of countingExpert MathematicsIn a four-position code, the first position has 3 choices. The second position cannot repeat the first choice. The third and fourth positions can each be any of 5 choices. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium Mathematics(4) students are to be seated on (6) different chairs. Each chair can have at most (1) student. How many seating arrangements are possible?Class 11Permutations and CombinationsFundamental principle of countingExpert MathematicsA train ticket code has (1) zone, (1) class, and (2) digits. There are (4) zones. If the zone is North, there are (3) class choices; for the other (3) zones, there are (5) class choices. Digits may repeat. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingExpert MathematicsA security card has a row of (3) symbols. Each position can be filled with one of (6) symbols, but all three symbols must not be identical. How many cards are possible?Class 11Permutations and CombinationsFundamental principle of countingExpert MathematicsA (5)-digit number must contain exactly (2) digits equal to (7), and the remaining (3) positions may contain any digit from (0) to (9) except (7). The first digit cannot be (0). How many numbers are possible?Class 11Permutations and CombinationsFundamental principle of countingExpert MathematicsFrom (10) books, one book is to be placed on each of (3) different shelves. No book can be placed on two shelves. How many ways are possible?Class 11Permutations and CombinationsFundamental principle of countingExpert MathematicsA (4)-stage machine setting has (3) choices at the first stage. If the third option is chosen first, the second stage has (2) choices; otherwise it has (5) choices. The third and fourth stages have (4) and (6) choices respectively. How many settings are possible?Class 11Permutations and CombinationsFundamental principle of countingExpert