If the number of five digit numbers with
Question:

If the number of five digit numbers with distinct digits and 2 at the $10^{\text {th }}$ place is $336 \mathrm{k}$, then $\mathrm{k}$ is equal to:

1. (1) 4

2. (2) 6

3. (3) 7

4. (4) 8

Correct Option: , 4

Solution:

Number of five digit numbers with 2 at $10^{\text {th }}$ place $=8 \times 8 \times 7 \times 6=2688$

$=8 \times 8 \times 7 \times 6=2688$

$\because \quad$ It is given that, number of five digit number with

2 at $10^{\text {th }}$ place $=336 k$

$\therefore \quad 336 k=2688 \Rightarrow k=8$