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Statistics - Permutations and combinations

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6. Ramesh has 6 friends. In how many ways can he invite one or more of them at a dinner?

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7. Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to

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8. In how many ways can 5 prizes be distributed among 4 boys when every boy can take one or more prizes ?

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9. How many different committees of 5 can be formed from 6 men and 4 women on which exact 3 men and 2 women serve?

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10. The number of words from the letters of the word 'BHARAT' in which Band H will never come together, is

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Permutations and combinations