In an examination, a student has to answer 4 questions out of 5 questions;

Question:

In an examination, a student has to answer 4 questions out of 5 questions; questions 1 and 2 are however compulsory. Determine the number of ways in which the student can make the choice.

Solution:

A student has to answer 4 question out of 5 questions.

Since questions 1 and 2 are compulsory, he/she will have to answer 2 question from the remaining 3.

$\therefore$ Required number of ways $={ }^{3} C_{2}=3$

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