The Number Of 6-digits Numbers That Can Be Made With The Digits 1, 2, 3 And 4 And Having Exactly Two Pairs Of Digits Is :

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Question

The number of 6-digits numbers that can be made with the digits 1, 2, 3 and 4 and having exactly two pairs of digits is :

Solution

Correct option is

1080

To form two pairs, select 2 digits from 4 digits in 4Cways and select 2 other digits in 2C2 ways.

Then arrange them in ways

Number of number = 4C2C2 × 6!/2! 2! = 1080

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