Question

The number of five digits number that can be formed (without repetition) using all the digits $0,1,3,6,8$ which are -

• A. $96$ ways
• B. $105$ways
• C. $92$ ways
• D. $101$ ways

Answer 1

The correct option is A $96$ ways

REF.image

0 cannot come in ten thousand place and

now every number must be unique

In the box d $\to$ 0 can be included

$\therefore 4$ possibilities

In box c $\to$ 3 possibilities

In box b $\to$ 2 possibilities

In box a $\to$ 1 possibilities

$\therefore$ Number of 5 - digit numbers in this

case = $4\times 4\times 3\times 2\times 1$

$=16\times 6\times 1=16\times 6=96ways$