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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 5-letter code has vowels in its first 3 places and consonants in its last 2 places. There are 5 available vowels and 7 available consonants, with no letter repeated. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsA photo app offers 6 filters, 5 frames, and 4 stickers. A sticker is optional, and at most one sticker can be used. How many different photo looks are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsUsing the digits 0–9, form 4-digit numbers with repetition allowed. The number must be from 2000 to 5999, inclusive. How many numbers are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsAn auditorium has (5) blocks each block has (6) rows and each row has (8) seats. If the program has (2) shifts how many ways are there to choose one seat-shift?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsA student can choose one shirt from 5 shirts, one pair of trousers from 3 pairs, and one pair of shoes from 2 pairs, or choose one bag from 7 bags instead. How many choices are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsIn a club, the posts of president, vice-president, and secretary are to be filled from 7 students. One student can hold only one post. How many appointments are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsA code has 3 letter positions followed by 2 symbol positions. Each letter position has 5 choices, and repetition of letters is allowed. There are 4 symbols available, and symbols cannot repeat. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsUsing the digits (1,2,3,4,5,6,7,8,9) without repetition (2)-digit numbers are formed. The number must be greater than (70). How many numbers are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsAn exam has 4 sections and each section has 3 optional questions. One question is chosen from each section and then one language from 2 languages is chosen. How many ways are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsA 5-digit PIN uses the digits 0 through 8. Its first digit cannot be 0, and its last digit must be even. Repetition is allowed. How many PINs are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsA meal consists of one starter chosen from 5, one main dish chosen from 4, and optionally one dessert chosen from 3 and one drink chosen from 2. How many different selections are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsThere are 4 routes from home to a center and 6 routes from the center to a library. On the return trip, the route used on each stage of the outward trip cannot be reused in reverse. How many round trips are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsUsing the letters A, B, C, D, E, F, G, and H, form 3-letter codes without repetition. The first letter cannot be A or B. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsA sequence has 6 positions, and 5 colors are available. No two consecutive positions may have the same color. How many sequences are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsA password has 3 letter positions followed by 2 digit positions. Each letter position has 4 choices, and each digit position has 6 choices. Repetition is allowed. How many passwords are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsA code consists of 2 distinct letters followed by 3 distinct digits. There are 7 letters and 5 digits available. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsHow many 3-digit even numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, and 7 without repetition?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsHow many 4-digit numbers less than 4000 can be formed using the digits 0, 1, 2, 3, 4, 5, and 6 without repetition?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsHow many 4-digit odd numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7, and 8 without repetition?Class 11Permutations and CombinationsFundamental principle of countingMedium MathematicsA 5-place code allows 2 choices at each of the first 3 places and 5 choices at each of the last 2 places. Repetition is allowed. How many codes are possible?Class 11Permutations and CombinationsFundamental principle of countingMedium