# 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

Q31. **In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?**

1.  400
2.  500
3.  600
4.  20
5.  25

Solution : 500
Q32. **In how many ways can a committee consisting of three men and four women be formed from a group of six men and seven women?**

1.  ⁶C₄ ⁷C₃
2.  ⁶C₃ ⁷C₅
3.  ⁶C₃⁷C₄
4.  ⁷C₅ ⁶C₄
5.  ⁶C₃ ⁷C₃

Solution : ⁶C₃⁷C₄
Q33. **A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?**

1.  63
2.  511
3.  1023
4.  15
5.  31

Solution : 1023
Q34. **In how many ways can five boys and three girls sit in a row such that all boys sit together?**

1.  4800
2.  5760
3.  2880
4.  15000
5.  1440

Solution : 2880

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Q35. **The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is -**

1.  4000
2.  2160
3.  4320
4.  5300
5.  4160

Solution : 4320
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