how many ways can the student get less than half of the marks allotted to the question assuming the student selects atleast one option?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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In an engineering entrance examination, there are only Multiple select questions (more than one option is correct). If a student selects any of the correct options, she will be awarded partial marks in proportion to the number of correct options she selects. If she chooses any of the wrong options, she will get zero marks for the entire question. In a particular question, there are four options of which the first three options are correct. In how many ways can the student get less than half of the marks allotted to the question assuming the student selects atleast one option?

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