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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।

MathematicsTo go from (A) to (B) on a grid, (3) right moves and (2) up moves are needed. If the first two moves cannot both be right, how many paths are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsA bank PIN has (5) digits. The first digit cannot be (0), and the PIN must contain at least one digit (7). Digits may repeat. How many PINs are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsA three-letter word is formed from (A,B,C,D,E,F). Letters may repeat, but the word must contain exactly two distinct letters. How many words are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsA mobile unlock pattern uses (4) distinct points. The first point cannot be one of the (4) corner points. How many patterns are possible if there are (9) total points?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsAn entry ticket has (2) letters, (1) color, and (2) digits. Letters are distinct, digits are distinct, and if the color is red, the first digit cannot be (0). There are (3) colors. How many tickets are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsUsing digits (0,1,2,3,4,5,6,7,8) without repetition, how many three-digit numbers divisible by (6) can be formed?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsA sports jersey has (8) colors and (5) number styles. If the gold color can be paired only with odd-numbered styles and the silver color only with even-numbered styles, how many jerseys are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsA survey has (4) questions and each question has (3) answer choices. If the first two answers cannot be the same and the last two answers must be the same, how many response sheets are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsFrom the ground floor to the (5)th floor, one may choose lift or stairs between each pair of floors. There are (2) choices per segment, but stairs cannot be chosen in two consecutive segments. How many ways are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsA URL code has (3) lowercase letters and (2) symbols. Letters do not repeat, and symbols are placed in two distinct positions from (4) available symbols. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsA dress code has (5) shirts, (4) pants, and (3) jackets. A jacket is optional, but the blue shirt cannot be worn with black pants. If a shirt and pants are compulsory, how many outfits are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsUsing digits (0,2,4,6,8,9) without repetition, a four-digit number must be greater than (2000) and end in (9). How many numbers are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsA secure code has (6) binary positions. No three consecutive positions can be (1). How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsA library card has 4 positions. Each position contains one of A, B, C, D, E. If A must appear at least once and E must not appear, how many cards are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsAn app ID has (2) letters followed by (3) digits. Letters and digits may repeat, but the last digit must be even and the two letters must not be identical. How many IDs are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsUsing digits (1,2,3,4,5,6,7,8,9) without repetition, how many five-digit numbers contain exactly two even digits?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsIn an exam paper, one question is chosen from 2 in section A, two questions from 4 in section B, and one question from 3 in section C. The first two questions of section B cannot be chosen together. How many selections are possible?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsA signal uses (3) flags arranged vertically. They are chosen from (6) distinct flags, and if the blue flag is chosen it cannot be at the top. How many signals can be formed?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsUsing digits (0,1,2,3,4,5,6,7) without repetition, how many five-digit numbers divisible by (4) can be formed?Class 11Permutations and CombinationsFundamental principle of countingHard MathematicsA locker code has four digits. The first digit cannot be (0), and exactly two digits must be identical while the other two digits are distinct and different from the repeated digit. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingHard