Question

The number of positive integers which can be formed by using any number of digits from $0,1,2,3,4,5$ without repetition, are:

• A. $1200$
• B. $1500$
• C. $1630$
• D. $1440$

Answer 1

The correct option is C $1630$

Digits given are $0,1,2,3,4,5$

Single digited are $1,2,3,4,5=5$ integers

Double digited are $5\times 5⟶25$ integers

Three digited are $5\times 5\times 4⟶100$ integers

Four digited are $5\times 5\times 4\times 3⟶300$ integers

Five digited are $5\times 5\times 4\times 3\times 2⟶600$ Integers.

Six digited are $5\times 5\times 4\times 3\times 2\times 1⟶600$ Integers.

Total integers $=1630$

Hence the correct answer is $1630$ Integers.