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How many numbers between 200 and 1200 can be formed with the digits 0, 1, 2, 3(no repetition allowed)?

50% studentsanswered this correctly

Important Questions on Permutations and Combinations

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Arijit being a party animal wants to hold many parties as possible amongst his 20 friends. However, his father has warned him that he will be financing his parties under the following conditions only:

  • The invitees have to be amongst his 20 best friends.
  • He cannot call same set of friends to a party more than once.
  • The number of invitees to every party have to be the same.

Given these constraints Arijit wants to hold the maximum number of parties. How many friends should be invited to each party?

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In how many ways can 10 identical presents be distributed among 6 so that each child gets at least one present?
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How many four-digit numbers are possible criteria being that all four digits are odd?
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There are five types of envelopes and four types of stamps in the post office. How many ways are there to buy an envelope and a stamp?

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In how many ways, can Ram choose a vowel and a consonant from the word ALLAHABAD?
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There are three rooms in a motel: one single, one double and one for four persons. How many ways are there to house seven persons in these rooms?
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How many ways are there to choose four cards of different suits and different values from a deck of 52 cards?