On an assignment, students are expected to answer at least 3 questions from a 16 question...
| On an assignment, students are expected to answer at least 3
questions from a 16 question set. But they can complete as many
questions as they wish (for bonus!). How many possible ways can they complete the assignment? Note: Consider all questions do-able, and each student will complete at least the minimum number of questions. |
Homework Answers
There are 2 choices for a question. either do it or leave it.
Total number of ways a student can answer any number from 0 to all 16 = 216 = 65536
Number of way to answer 0 question = 16C0 = 1
Number of way to answer 1 question = 16C1 = 16
Number of way to answer 2 question = 16C2 = 120
Number of ways to complete the assignment by solving at least 3 question =
65536 - 1 -16 - 120 = 65399
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On an assignment, students are expected to answer at least 3
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