In a classroom there are ten chairs in a row c1, c2, c3, ........., c10 which are labelled by numbers 1, 2, 3, .........., 10 arbitrarily but satisfying the condition that ki ≤ kj whenever i ≤ j, where k1, k2, k3, ........., k10 are the labels given to the chairs c1, c2, c3, ........., c10 respectively. Then which of the following is true ?

Question

In a classroom there are ten chairs in a row c1, c2, c3, ........., c10 which are labelled by numbers 1, 2, 3, .........., 10 arbitrarily but satisfying the condition that ki ≤ kj whenever i ≤ j, where k1, k2, k3, ........., k10 ​are the labels given to the chairs c1, c2, c3, ........., c10 respectively. Then which of the following is true ?

TuteeHUB · Accepted Answer

There are two i and j such that ki = i and kj = j

TuteeHUB · Answer

For some i, ki = i

TuteeHUB · Answer

All labels must be distinct

TuteeHUB · Answer

For every i, ki = i

1.	In a classroom there are ten chairs in a row c1, c2, c3, ........., c10 which are labelled by numbers 1, 2, 3, .........., 10 arbitrarily but satisfying the condition that ki ≤ kj whenever i ≤ j, where k1, k2, k3, ........., k10 are the labels given to the chairs c1, c2, c3, ........., c10 respectively. Then which of the following is true ?
A.	For some i, ki = i
B.	There are two i and j such that ki = i and kj = j
C.	All labels must be distinct
D.	For every i, ki = i
Answer» B. There are two i and j such that ki = i and kj = j

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