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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 Please wait..

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.

व्याख्या Please wait..

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