Question

The total number of 4-digit numbers that are greater than 3000, that can be formed using the digits 1, 2, 3, 4, 5, 6 (no digit is being repeated in any number) is equal to

(A) 120 

(B) 240 

(C) 480 

(D) 80

Answer 1

Correct option  (B) 240 

Let the formed number is x₁ x₂ x₃ x₄ . Clearly, x₁ ≥ 3.

Thus, the total number of such numbers is

4⋅5⋅4⋅3 = 240