If the number of five digit numbers with distinct digits and 2 at the 10th place is 336 k, then k is equal to:
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a
4
b
8
c
6
d
7
answer is B.
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Detailed Solution
2 The first blank can be filled with any one of the digits 1,3,4,5,6,7,8,9 in 8 waysThe second blank can be filled with any one of the digits 0,1,3,…, without taking first digit, in 8 waysThe 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 waysHence the number of numbers =8×8×7×6=2688=336 ⋅k⇒k=8