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A class has 20 students. A teacher makes certain visit to the zoo along with 2 students from the class. The treacher visits zoo with all possible selections of 2 students exactly once. Find the number of takes teacher makes visit to the zoo more than any particular student.

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$^{19} C_{2}$

$^{20} C_{2}$

$^{19} C_{1}$

$^{18} C_{2}$

answer is C.

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Detailed Solution

Consider all cases where teacher is making visit to the zoo not taking A (one of the
student out of 20). Hence teacher is selecting 2 students from rest 19. Hence $^{19} C_{2}$ visits are there which do not include A.

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