Class 11MathematicsPermutation and CombinationDefinition of permutation, Number of permutations with or without repetition, Conditional permutations
EasyIf a man and his wife enter a bus in which five seats are vacant,then the number of different ways in which they can be seated is
- A$2$
- B$5$
- C$20$
- D$40$
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There are $5$ roads from a village to a city. In how many different ways can a villager go to the city and return back?
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View SolutionHow many $5$ digit telephone numbers can be constructed using the digits $0$ to $9$,if each number starts with $67$ and no digit appears more than once?
If $^nP_4 : ^nP_5 = 1 : 2$,then $n = \dots$
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View SolutionThe number of $5$-letter words that can be formed by using the letters of the word $SARANAM$ is
If the letters of the word $SACHIN$ are arranged in all possible ways and these words are written out as in a dictionary,then the word $SACHIN$ appears at serial number:
MediumAIEEE 2005
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