If the number of five digit numbers with distinct digits and 2 at the 10th place is 336 k, then k is equal to:

# If the number of five digit numbers with distinct digits and 2 at the 10th place is 336 k, then k is equal to:

1. A

4

2. B

8

3. C

6

4. D

7

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### Solution:

The first blank can be filled with any one of the digits 1,3,4,5,6,7,8,9 in 8 ways

The second blank can be filled with any one of the digits 0,1,3,…, without taking first digit, in 8 ways

The third blank can be filled with the remaining 7 digits in 7 ways

And the unit place can be filled with the remaining 6 digits in 6 ways

Hence the number of numbers $=8×8×7×6=2688=336\text{\hspace{0.17em}}\cdot k⇒k=\overline{)8}$

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