# 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

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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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