Question

A set of 15 different words are given. In how many ways is it possible to choose a subset of 5 words?

Answer 1

S4=15C4=15∗14∗13∗12/24=15∗91=1365S4=15C4=15∗14∗13∗12/24=15∗91=1365

S3=15C3=15∗14∗13/6=35∗13=455S3=15C3=15∗14∗13/6=35∗13=455

S2=15C2=15∗14/2=15∗7=105S2=15C2=15∗14/2=15∗7=105

S1=15C1=15S1=15C1=15

S0=15C0=1S0=15C0=1

S<5=1365+455+105+15+1=1941S<5=1365+455+105+15+1=1941

Ans : 1940

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