Class 11MathematicsPermutation and CombinationDefinition of permutation, Number of permutations with or without repetition, Conditional permutations
Medium$4$ buses run between Bhopal and Gwalior. If a man goes from Gwalior to Bhopal by a bus and comes back to Gwalior by a different bus,then the total number of possible ways is:
- A$12$
- B$16$
- C$4$
- D$8$
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If all the words with or without meaning made using all the letters of the word $NAGPUR$ are arranged as in a dictionary,then the word at $315^{\text{th}}$ position in this arrangement is:
${ }^{20}P_5 - { }^{19}P_5 = $
Evaluate $5!$
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