Class 11MathematicsPermutation and CombinationDefinition of permutation, Number of permutations with or without repetition, Conditional permutations
EasyThe total number of permutations of the letters of the word "$BANANA$" is
- A$60$
- B$120$
- C$720$
- D$24$
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Find $r$ if $^{5}P_{r} = 2 \times ^{6}P_{r-1}$.
Medium
View SolutionIf all the seven letters of the word $LEADING$ are permuted in all possible ways and the words thus formed are arranged as in the dictionary order,then the word in $2017^{\text{th}}$ place is
The number of different $9$-digit numbers that can be formed by rearranging the digits of the number $445577888$ such that the odd digits occupy even positions is:
The number of numbers,strictly between $5000$ and $10000$,that can be formed using the digits $1, 3, 5, 7, 9$ without repetition is $..........$.
Six identical coins are arranged in a row. The number of ways in which the number of tails is equal to the number of heads is
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