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MODERN PUBLICATION-PERMUTATIONS AND COMBINATIONS-EXERCISE
- Prove that (n!)/(r!(n-r)!)+(n!)/((r-1)!(n-r+1)!)= ((n+1)!)/ (r!(n-r+1)...
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- Prove that there are exactly 4! numbers between 1000 and 10000 that co...
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- show that 2^16 divides 32!. also, find the largest value of n for whic...
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- There are five colleges in a city. In how many ways can a man send 3 o...
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- John wants to go abroad by ship and return by air. He has a choice of ...
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- There are 5 routes from place A to place B and 3 routes from place B t...
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- If there are 20 steamers plying between places A and B, in how many wa...
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- If there are 20 steamers plying between places A and B, in how many wa...
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- In how many ways can 5 persons draw water from 5 taps, assuming no tap...
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- In how many ways can 3 people be seated in a row containing 7 seats ?
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- A sample of 3 bulbs is tested. A bulb is labelled ‘G’ if it is good a...
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- How many 4-letter code words are possible using the first 10 letters o...
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- Six pictures are to be arranged from left to right on a wall of an art...
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- The digits, from 0 to 9, are written on slips of paper and placed in a...
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- For a group photograph, 3 boys and 2 girls stand in a line in all poss...
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- How many 5-digit telephone numbers can be constructed using the digits...
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- Given (i) 4 flags (ii) 5 flags of different colours, how many differen...
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- Find the number of different signals that can be made by arranging at ...
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- How many numbers can be formed from the digits 1, 2, 3, 9 if repetitio...
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- Kartar goes to a movie. The cinema hall has two entrances and three ex...
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