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

MathematicsA school ID has (3) digits followed by (2) letters. Digits may repeat and letters are distinct. If the three digits cannot all be identical and the first letter must be a vowel, how many IDs are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 52Hard MathematicsA photo album has (4) positions. Photos are placed from (7) distinct photos. If a special photo is used, it must be placed at an end position. How many arrangements are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 52Hard MathematicsAn ID tag chooses (2) colors in order and (2) shapes in order. Colors must be distinct and shapes may repeat. There are (6) colors and (3) shapes. If the first color is red, the two shapes cannot be identical. How many tags are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 52Hard MathematicsUsing digits (1,2,3,4,5,6,7) without repetition, how many four-digit numbers have the thousands digit greater than the units digit?Class 11Permutations and CombinationsFundamental principle of countingLevel 52Hard 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 countingLevel 52Hard 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 countingLevel 52Hard 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 countingLevel 52Hard 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 countingLevel 52Hard 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 countingLevel 52Hard 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 countingLevel 52Hard 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 countingLevel 52Hard 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 countingLevel 52Hard 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 countingLevel 52Hard 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 countingLevel 52Hard 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 countingLevel 52Hard 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 countingLevel 52Hard 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 countingLevel 52Hard 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 countingLevel 52Hard MathematicsAn online form has (5) optional sections. Each section may be filled or left blank, but at least one must be filled. If sections (1) and (2) cannot both be filled, how many ways are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 52Hard 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 countingLevel 52Hard