Class 11MathematicsPermutation and CombinationDefinition of permutation, Number of permutations with or without repetition, Conditional permutations
EasyHow many $5$-digit numbers can be formed using the digits $3, 4, 7$ once each and the digit $5$ twice?
- A$30$
- B$60$
- C$45$
- D$90$
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$A$ vehicle registration number consists of $2$ letters of the English alphabet followed by $4$ digits, where the first digit is not zero. The total number of vehicles with distinct registration numbers is
It is required to seat $5$ men and $4$ women in a row so that the women occupy the even places. How many such arrangements are possible?
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View SolutionHow many arrangements can be made with $5$ boys and $5$ girls in a row such that boys and girls alternate?
Medium
View SolutionThe number of five-digit numbers divisible by $5$ that can be formed using the digits $0, 1, 2, 3, 4, 5$ without repetition is
DifficultAP EAMCET 2011
View SolutionIn how many ways can you arrange the letters of the word "$ATTAIN$" so that the $T$'s are together?
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