How many different sequences of 4 digits are possible if the first digit must be 3, 4, or 5 and if the

Question

sequence may not end in 000? Repetition of digits is allowed.

A) 2000 B) 2997 C) 2999 D) 1512

Answer 1

numbers starting with 3,4, or 5 with no other restrictions = 3x10x10x10 = 3000
numbers starting with 3,4, or 5 and ending with 000 = 3x1 = 3

So total numbers as stated = 3000 - 3 = 2997

Answer 2

write an integer to represent each description