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The total number of permutations of n(>1) different things taken not more than r at a time, when each thing may be repeated any number of times is

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Important Questions on Permutations & Combinations

MEDIUM
CAT
IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 40
Number of rectangles on a chessboard is :
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Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 42
The number of natural numbers which are less than 2·108 and which can be written by means of the digit 1 and 2, is
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Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 43
Tweleve persons are arranged in a row. The number of ways of selecting four persons so that no two persons sitting next to each other are selected is :
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Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 44
The number of n-bit (digits 0 and 1 ) strings having exactly k zeros with no two zeros consecutive is, where 2 k<n
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CAT
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Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 45
A question paper has two parts-Part A and Part B. Part A contains 5 questions and part B has 4 . Each question in part A has an alternative. A student has to attempt atleast one question from each part. Find the number of ways in which the student can attempt the question paper.
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Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 46
How many different vehicle licence plates can be made if the licences contain 2 letters of the English alphabet followed by a three digit number if repetitions are allowed?
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CAT
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Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 47
In the previous question (no. 46), how many different. plates can be formed if the repetitions are not allowed?
MEDIUM
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Quantum CAT Also Useful for XAT>Chapter 19 - SNAP>CMAT>Q 48
2 m people are arranged along two sides of a long table with m chairs each side. r men wish to sit on one particular side and s on the other. In how many ways can they be seated? (r,s≤m)