Question

The number of five digit numbers that can be formed with 0, 1, 2, 3, 5 so that no digit being repeated in any number is:

• A. $96$
• B. $120$
• C. $24$
• D. $58$

Answer 1

The correct option is A $96$

Number of permutations that can be made in 5 digits is ${}^5{P}_3$

But the numbers which start with digit 0 are not valid

\therefore number of five digit numbers $=5!-4!=96$