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A box contains 12 lamps of which 5 are d...

A box contains 12 lamps of which 5 are defective . In how many ways can a sample of 6 be selected at random from the box so as to include at most 3 defective lamps ?

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CHHAYA PUBLICATION-PERMUTATION AND COMBINATION -EXERCISE 7B ( Long Answer Type Questions )
  1. A committee of 5 is to be formed from six ladies and four gentlemen . ...

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  2. In a cricket team of 14 players 6 are bowlers . How many different tea...

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  3. A box contains 12 lamps of which 5 are defective . In how many ways c...

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  4. An examinee is required to answer 6 questions out of 12 question whic...

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  5. A question paper contains , which are divided into two groups each con...

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  6. In how many ways can a team of 11 cricketers be chosen from 9 batsmen ...

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  7. The Indian Cricket Eleven is to be selected out of fifteen players , f...

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  8. How many combinations can be formed of eight counters marked 1,2,3,4,5...

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  9. Find the number of permutations of the letters of the words FORECAST a...

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  10. In how many ways can the crew of an eight - oared boat be arranged if ...

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  11. Of the 17 articles , 12 are alike and the remaining 5 are different ...

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  12. Out of 3n given things 2n are alike and the rest are different Show th...

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  13. Show that there are 136 ways of selecting 4 letters from the word EXAM...

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  14. Find the total number of ways of selecting 5 letters from the word IN...

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  15. Find the number of combinations in the letters of the word STATISTICS ...

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  16. Find the number of permutations in the letters of the word PROPORTION ...

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  17. How many different numbers of 4 digits can be formed with the digits ...

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  18. From 4 apples , 5 oranges and 3 mangoes , how many selections of fruit...

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  19. In how many ways can one or more fruits be selected from 4 apples ,5 o...

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  20. Find the total number of combinations taking at least one green ball a...

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