Three ladies have each brought a child for admission to a school. The head of the school wishes to interview six people one by one, taking care that no child is interviewed before his/her mother.In how many different ways can the interviews be arranged?

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Solution

The correct option is A 6
Three ladies have each brought two child for admission to a school
$\Rightarrow$ The use permutation of objects not all different.
$\Rightarrow T h e n, r e q u i r e d n u m b e r o f a r r a n g e d = \frac{61}{21 \times 21 \times 21}$
$= \frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 2 \times 2} = 90.$

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Q. Directions:- Study the following information carefully to answer the question given below.

During one week, a human resource director conducts five interviews for a new job, one interview per day, Monday through Friday. There are six candidates for the job - Rajan, Sachin, Tarun, Asha, Vanya and Kunal. No more than two candidates are interviewed more than once.
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(iv) If Vanya is interviewed, then Kunal is interviewed twice, with Vanya's interview taking place after Kunal's first interview and before Kunal's second interview.
(v) If Asha is interviewed, then Rajan is also interviewed with Asha's interview taking place on a day either immediately before or immediately after a day on which Rajan is interviewed. Directions:- Study the following information carefully to answer the question given below.

During one week, a human resource director conducts five interviews for a new job, one interview per day, Monday through Friday. There are six candidates for the job - Rajan, Sachin, Tarun, Asha, Vanya and Kunal. No more than two candidates are interviewed more than once.
Neither Sachin nor Asha, nor Vanya is interviewed more than once and no other candidate is interviewed more than twice. The schedule of interviews is subject to the following conditions:-
(i) if Tarun is interviewed, then he must be interviewed on both Monday and Friday.
(ii) if Sachin is interviewed, then Asha is also interviewed, with Sachin's interview taking place earlier than Asha's interview.
(iii) if Rajan is interviewed twice, then Rajan's second interview takes place exactly two days after Rajan's first interview.
(iv) if Vanya is interviewed, then Kunal is interviewed twice, with Vanya's interview taking place after Kunal's first interview and before Kunal's second interview.
(v) if Asha is interviewed, then Rajan is also interviewed with Asha's interview taking place on a day either immediately before or immediately after a day on which Rajan is interviewed.

If Vanya is interviewed on Tuesday, then which of the following must be true?

Q. How many candidates were interviewed everyday by the panel 'A' out of the three panels A, B and C?
Statement I. The three panels on an average can interview 15 candidates every day.
Statement II. Out of a total of 45 candidates interviewed everyday by the three panels, the no. of candidates interviewed by panel 'A' is less by 2 than the candidates interviewed by panel 'C' and is less by 1 than the candidates interviewed by panel 'B'.

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Three ladies have each brought a child for admission to a school. The head of the school wishes to interview six people one by one, taking care that no child is interviewed before his/her mother.In how many different ways can the interviews be arranged?

The correct option is A 6Three ladies have each brought two child for admission to a school ⇒ The use permutation of objects not all different.⇒Then,requirednumberofarranged=6121×21×21=6×5×4×3×2×12×2×2=90.