How many different four digit numbers can be formed using the digits 1,2,7,4,5,6 when repetition is not allowed and each number starts with 2?

Question: How many different four digit numbers can be formed using the digits 1,2,7,4,5,6 when repetition is not allowed and each number starts with 2?

Solution:
Here
1,2,7,4,5,6

No repetition Four digit number Starting with 2
Rest leftover numbers = 5
Number of blanks = 3
Number of digits
⁵P_3​
= 5 × 4 × 3
= 60