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Question

Three children, each accompanied by a guardian, seek admission in a school. The principal wants to interview all the 6 persons one after the other subject to the condition that no child is interviewed before its guardian. In how many ways can this be done?

A
60
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B
90
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C
120
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D
180
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Solution

The correct option is B 90
Since no child is interviewed before the guardian, we consider ordered pairs of guardian-child while solving . Since there are six places and we fill up 2 in an order we get the total number of possibilities as 6C2×4C2×2C2 = 90

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