Question

How many numbers between $3000$ and $4000$ can be formed from the digits $3,4,5,6,7$ and $8$ with no digits being repeated in any number?

• A. $20$
• B. $15$
• C. $60$
• D. $120$

Answer 1

Answer: (C)

$60$

The first place filled with $3-1$ way
Second place $-5$ways
Third place $-4$ ways
Fourth place $-3$ ways
Total numbers $=1\times 5\times 4\times 3=60$ ways
Hence, option 'C' is correct.