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Mathematics

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

MathematicsWhat is the value of \(\frac{6!}{3!,3!}\)?Class 11Permutations and CombinationsFactorial notationLevel 55Easy MathematicsWhat is the value of 3! × 2!?Class 11Permutations and CombinationsFactorial notationLevel 55Easy MathematicsWhat is the value of 8!/7!?Class 11Permutations and CombinationsFactorial notationLevel 55Easy MathematicsWhat is the value of (4!+2!)?Class 11Permutations and CombinationsFactorial notationLevel 55Easy MathematicsWhat is the value of 0!?Class 11Permutations and CombinationsFactorial notationLevel 55Easy MathematicsWhat is the value of 5!?Class 11Permutations and CombinationsFactorial notationLevel 55Easy MathematicsA 5-letter signal is formed from P, Q, R, S and T. Letters may repeat, but both P and Q must appear in the signal. How many signals are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 54Medium MathematicsAn exam portal has 4 sections. The first 3 sections have 5, 4, and 6 questions respectively, and the fourth has 3 difficult and 2 easy questions. If 1 question is chosen from each section and the fourth must be easy, how many selections are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 54Medium MathematicsA travel plan visits 3 cities A, B and C. For each city, 2 hotels and 3 local transport options are available. If the order of cities is fixed, how many plans are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 54Medium 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 countingLevel 53Medium MathematicsFour different letters are to be placed into five different envelopes. Each letter may go into any envelope, and envelopes may remain empty. How many arrangements are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 53Easy MathematicsA badge is made by choosing one shape, one colour, and one letter. There are 4 shapes, 3 colours, and 5 letters. If the circular shape allows only 2 colours and each of the other 3 shapes allows all 3 colours, how many badges are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 53Medium MathematicsA paper has three sections. Choose one question from two in the first section, two questions from four in order in the second section, and one question from three in the third section. How many answer sequences are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 53Medium MathematicsThree distinct prizes are to be awarded to seven students. No student can receive more than one prize. How many ways are possible?Class 11Permutations and CombinationsPermutationsLevel 54Medium MathematicsA bag has 6 red and 5 blue balls. Four balls are to be selected with equal numbers of both colours. How many selections are possible?Class 11Permutations and CombinationsCombinationsLevel 54Medium MathematicsA student chooses one class each from 5 morning, 4 afternoon, and 6 evening classes. With the 2 live morning classes, the 3 recorded evening classes cannot be chosen. How many timetables are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 53Hard MathematicsAn app theme has 5 backgrounds, 4 fonts, 6 icons, and 3 layouts. Two specific background-font pairs are invalid. How many valid themes are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 53Medium MathematicsIn a two-day trip, a different city must be chosen each day. There are 5 cities and 3 hotel categories each day. If the capital is chosen on day two, only 2 hotel categories are available for day two. How many plans are possible?Class 11Permutations and CombinationsFundamental principle of countingLevel 53Hard MathematicsA 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 countingLevel 52Hard MathematicsOn 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 countingLevel 52Hard