QUESTION

# Out of the number of four different digits formed from the digits 1, 2, 3, 4, 5, 6, 7, 8, 9, how many of them are greater than 4000 (Repetition is not allowed)?(a). 2010(b). ${}^9{P_4}$(c). 2016(d). None of these

Hint: For the four-digit number to be greater than 4000, the first digit from the left should be equal to or greater than 4 and the remaining 3 digits should be chosen from the remaining digits.

Total ways = $6 \times 8 \times 7 \times 6$