Synopsis IAS

Answer

Solution

UPSC Prelims

Mathematics

Theme:

Permutation and Combination / क्रमचय और संचय

Q66 2021, Permutation and Combination

Using 2, 2, 3, 3, 3 as digits, how many distinct numbers greater than 30000 can be formed?

अंकों के रूप में 2, 2, 3, 3, 3 का प्रयोग करते हुए, 30000 से बड़ी कितनी भिन्न संख्याएँ बन सकती हैं?

Explanation

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For the number to be greater than 30000, it must start with the digit 3.

Also, as only 5 digits are given to us, all must be used.

The 4 blanks have to be filled by two 2’s and two 3’s.

Number of ways to do so = 4!/(2! 2!) = 6.

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Q 66. 2021, Permutation and Combination

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