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Read the following passage and solve the questions based on it.

During their stint at IIM Shillong, ten students have opted for various electives named from A to F. In these electives, students are given the points on a scale of 1 to 5 points. Points obtained by the students can be integral points only.

It is also known that not all the electives are taken by all the students and not all the students are taking at least an elective.

The range of scores indicates the maximum and minimum scores in that elective by the students who have chosen that elective. However, if the range of the scores is 1 - 4, then at least one of students must have got 1 point and at least one student must have got 4 points in that

elective.

The number of elective takers out of the 10 students is given in the last column.

Elective | Range of scores of all the elective takers (Minimum and maximum scored) | Average score of the elective takers | Number of elective takers |

A | 1 – 4 | 3.5 | 6 |

B | 2 – 4 | 3 | 3 |

C | 1 – 5 | 4 | 7 |

D | 1 – 2 | 4/3 | 3 |

E | 2 – 5 | 4 | 4 |

F | 3 – 5 | 11/3 | 6 |

What is the maximum number of students who have scored more than 3 points in at least one elective?