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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 first (3) distinct letters from the English alphabet and then (2) digits. The first digit cannot be (0) and digits may repeat, so how many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsIn a security question, (3) icons are chosen in order from (5) icons. No icon repeats, and if the star icon is chosen, it must be in the second position. How many answers are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA box has (4) red, (3) blue, and (2) green distinct balls. Three balls are drawn in order without replacement. The first ball must not be red and the third must be green. How many ways are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsIn a competition, first, second, and third prizes are awarded among (8) students. Two particular students cannot both appear in the prize list. How many prize assignments are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA bag code has 2 colors and 1 shape. The colors are chosen in order from 5 colors without repetition. There are 4 shapes. If green is selected, the shape cannot be round. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA four-digit number is formed from (0,1,2,3,4,5,6) without repetition. It must be less than (4000) and odd. How many such numbers are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsAn online test has (6) true-false questions. The response sheet must have exactly (4) correct answers, and the first question must be correct. How many response sheets are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA shop has (4) types of pens, (5) types of notebooks, and (3) types of covers. A student chooses at least one item and at most one item from each type. If choosing a pen requires choosing a cover, how many selections are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA dictionary index has (3) positions. Each position can contain any of (7) letters. If at least two positions must contain the same letter, how many indices are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsOn a shelf, 5 distinct mathematics books and 4 distinct physics books are to be arranged. The first and last books must be from different subjects. How many arrangements are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA four-letter code is formed from (P,Q,R,S,T). Repetition is not allowed and (P) and (Q) must not be adjacent. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsA question bank has (5) algebra, (4) geometry, and (3) calculation questions. A set of exactly (3) questions must contain at least one algebra and at least one geometry question. How many sets are possible?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsUsing digits (0,1,2,3,4,5,6,7,8,9) without repetition, how many six-digit numbers have an odd first digit and an even last digit?Class 11Permutations and CombinationsFundamental principle of countingHardMathematicsAn exam seat code contains a row from 1 to 12, a column from 1 to 8, and a block A, B, or C. If block C allows only even row numbers, how many seat codes are valid?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA 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 countingHardMathematicsA 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 countingHardMathematicsAn 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 countingHardMathematicsUsing 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 countingHardMathematicsA meal package includes one drink, one snack, and one dessert. There are 5 drinks, 6 snacks, and 4 desserts. If coffee cannot be paired with chocolate dessert, how many packages are possible?Class 11Permutations and CombinationsFundamental principle of countingMediumMathematicsA code has 4 letters. Only consonants from the 26 letters are used and no letter repeats. If the first letter cannot be B, how many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingHard

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