Class 11MathematicsPermutation and CombinationDefinition of permutation, Number of permutations with or without repetition, Conditional permutations
EasyHow many numbers consisting of $5$ digits can be formed in which the digits $3, 4$ and $7$ are used only once and the digit $5$ is used twice?
- A$30$
- B$60$
- C$45$
- D$90$
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If $_{12}P_r = 1320$,then $r = ..........$
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View SolutionHow many numbers between $5000$ and $10,000$ can be formed using the digits $1, 2, 3, 4, 5, 6, 7, 8, 9$ if each digit appears not more than once in each number?
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Among the $4$-digit numbers formed using the digits $0, 1, 2, 3, 4$ where repetition of digits is allowed,the number of numbers which are divisible by $4$ is:
The number of ways in which the letters of the word $MACHINE$ can be arranged such that the vowels may occupy only odd positions is:
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