Using the digits $0,2,4,6,8$ not more than once in any number, the number of 5 digited numbers that can be…

Using the digits $0,2,4,6,8$ not more than once in any number, the number of 5 digited numbers that can be formed, is
  1. $16$
  2. $24$
  3. $96$
  4. $120$

Solution

The numbers of 5-digits number $={ }^5 P_5$ The numbers begin with $0={ }^4 P_4$ Required numbers $={ }^5 P_5-{ }^4 P_4=120-24=96$

Asked in: AP EAMCET 2001

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