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Permutations and Combination

Permutation and Combination: Difference between Permutation and Combination, Permutation Meaning, Permutation and Combination Formula, Questions, Problems

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Online Aptitude Questions with Answers on Permutations and Combination

Q6. **In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?**

  1.  159
  2.  194
  3.  204
  4.  205
  5.  None of these

Solution : None of these
Q7. **How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?**

  1.  5
  2.  10
  3.  15
  4.  20

Solution : 20
Q8. **In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?**

  1.  266
  2.  5040
  3.  11760
  4.  86400
  5.  None of these

Solution : 11760
Q9. **A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?**

  1.  32
  2.  48
  3.  64
  4.  96
  5.  None of these

Solution : 64

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Q10. **In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?**

  1.  32
  2.  48
  3.  36
  4.  60
  5.  120

Solution : 36
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