NIMCET 2024 Paper

Section: Mathematics

Question : 14 of 120

Marks: +1, -0

A committee of 5 is to be chosen from a group of 9 people. The probability that a certain married couple will either serve together or not at all is:

Solution:

Requires probability
P (couple is there) + P (couple is not there)

=\;{{ }^{1 ×}/{ }^7 C_3}{{ }^9 C_5}+\;{{ }^7 C_5}/{{ }^9 C_5}=\;{56}/{126}=\;{4}/{9}

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