The number of integers greater than 6,000 that can be formed, using the digits 3, 5, 6,7 and 8, without repetition, is :

  • Option 1)

    216

  • Option 2)

    192

  • Option 3)

    120

  • Option 4)

    72

 

Answers (1)

As we learnt in

Number of Permutations without repetition -

Arrange n objects taken r at a time equivalent to filling r places from n things.

 

- wherein

Where r\leq n\ \; and\; \; r\geq 0

 

 Four digit numbers can be 

Five digit numbers 

Total = 192

Correct option is 2.

 


Option 1)

216

This is an incorrect option.

Option 2)

192

This is the correct option.

Option 3)

120

This is an incorrect option.

Option 4)

72

This is an incorrect option.

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