Class 11MathematicsPermutation and CombinationDefinition of permutation, Number of permutations with or without repetition, Conditional permutations
EasyIn how many ways can $5$ prizes be distributed among four students when every student can take one or more prizes?
- A$1024$
- B$625$
- C$120$
- D$600$
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Similar Questions
$A$ library has $a$ copies of one book,$b$ copies of each of two books,$c$ copies of each of three books,and single copies of $d$ books. The total number of ways in which these books can be arranged is:
Medium
View SolutionIf $^n{P_r} = 720 \times {^n{C_r}}$,then $r$ is equal to:
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View SolutionIn how many ways can the letters of the word $PERMUTATIONS$ be arranged if the vowels are all together?
Medium
View SolutionThe number of ways in which the letters of the word $MACHINE$ can be arranged such that the vowels may occupy only odd positions is:
The total number of $4$-digit numbers which can be formed using the digits $1, 2, 3, 4$ without repetition such that the digit $n+1$ never immediately follows the digit $n$ is:
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