# 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

Q41. **A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?**

1.  ¹²C₅ * 10
2.  ¹²C₇ * 10
3.  ¹²C₇ * ¹⁰C₅
4.  12 * ¹⁰C₅
5.  None of these

Solution : ¹²C₇ * ¹⁰C₅
Q42. **A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior?**

1.  ²²C₁₀
2.  ²²C₁₀ + 1
3.  ²²C₉ + ¹⁰C₁
4.  ²²C₁₀ - 1
5.  None of these

Solution : ²²C₁₀ - 1
Q43. **Six points are marked on a straight line and five points are marked on another line which is parallel to the first line. How many straight lines, including the first two, can be formed with these points?**

1.  29
2.  33
3.  55
4.  30
5.  32

Solution : 32
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Solution :

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