QUESTION

CSAT

Easy

Maths

Prelims 2021

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

Select an option to attempt

Explanation

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.

3_ _ _ _

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

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

These numbers are: 33322, 33232, 33223, 32332, 32323, and 32233.

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