Question

The number of $4$ digit even numbers that can be formed using $0,1,2,3,4,5,6$ without repetition is :

• A. $120$
• B. $300$
• C. $420$
• D. $20$

Answer 1

The correct option is A $120$

Number of possible outcomes for the ones digit$=3$ (0,2or 6)

Number of possible outcomes for the tens digit$=5$ (6-1 as repetition is not allowed)

Number of possible outcomes for the hundredths digit$=4$ (5-1 as repetition is not allowed)

Number of possible outcomes for the tens digit$=2$ (4-1-1 as repetition is not allowed and zero cant be in this place as in that case it will become 3 digit number)

So, number of possible 4 digit number$=3\times 5\times 4\times 2=120$