# 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

Q11. **In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?**

1.  63
2.  90
3.  126
4.  45
5.  135

Solution : 63
Q12. **How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?**

1.  40
2.  400
3.  5040
4.  2520

Solution : 5040
Q13. **In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?**

1.  10800
2.  4989600
3.  120960
4.  None of these

Solution : 120960
Q14. **In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?**

1.  120
2.  720
3.  4320
4.  2160
5.  None of these

Solution : 720

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Q15. **A boy has 9 trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?**

1.  21
2.  12
3.  9
4.  108
5.  101

Solution : 108
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