Question

How many numbers greater than 50000 can be formed using all the digits 1, 1, 5, 9, 0?

• A. $12$
• B. $18$
• C. $24$
• D. $32$

Answer 1

Answer: (C)

$24$

The first digit can be either 5 or 9. The rest of the 4 digits can be arranged in $\frac{4!}{2!}$ ways where the digit 1 is repeated twice

The total number of ways is therefore, $2\times \frac{4!}{2!}=24$

Correct option is C