Appointments are to be made to the Higher Judiciary in India one to the office of Chief Justice of I...........

Quantitative Aptitude ( CCS) Permutation & Combination

Appointments are to be made to the Higher Judiciary in India, one to the office of Chief Justice of India and two to the Judges of the Supreme Courts. Among the six candidates selected by the Collegium of Judges, only two are approved as eligible by the Government of India for the office of Chief Justice of India while all are eligible for appointment as the Judges of the Supreme Court of India. The number of possible combination of appointees is?

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Explanation:

Out of the appointments of the 2 Judges of the Supreme Court, one can be appointed in 2C1 = 2 ways.
Out of the remaining 5 Judges identified by the Collegium, 2 Judges to the Supreme Court can be appointed in 5C2 ways = (5 x 4)/2 = 10 ways
Hence, number of possible combination of appointees = 2 x 10 = 20 ways.

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