Class 11MathematicsPermutations and CombinationsDefinition of permutation, Number of permutations with or without repetition, Conditional permutations
DifficultThe number of $4$-letter words, with or without meaning, each consisting of two vowels and two consonants that can be formed from the letters of the word $INCONSEQUENTIAL$, without repeating any letter, is:
- A$2670$
- B$2840$
- C$2920$
- D$3600$
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$6$ boys and $5$ girls sit in a line such that $(I)$ no two girls sit together $(II)$ all the girls sit together. If $p$ is the number of arrangements in case $(I)$ and $q$ is the number of arrangements in case $(II)$,then $p/q =$
Eight different letters of an alphabet are given. Words of four letters from these are formed. The number of such words with at least one letter repeated is:
The number of four-letter words that can be formed with letters $a, b, c$ such that all three letters occur is
DifficultKVPY 2019
View SolutionThe total number of injections (one-one into mappings) from the set $A = \{a_{1}, a_{2}, a_{3}, a_{4}\}$ to the set $B = \{b_{1}, b_{2}, b_{3}, b_{4}, b_{5}, b_{6}, b_{7}\}$ is:
The letters of the word '$MANKIND$' are written in all possible orders and arranged in serial order as in an English dictionary. Then the serial number of the word '$MANKIND$' is $.....$
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