(Q). A class has 10 students 7 are boys and 3 are girls. In how many ways students can be selected for a project.
Solution:-
Every student (either boy or girl) has 2 ways of selection → either selected or rejected.
∴ students can be selected in 2⁷×2³ = 2¹⁰ = 1024 ways
& this also includes the case when none of the students is selected.
Hence total number of ways = 1024 – 1
= 1023 Answer
