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GO Classes DPP | GATE CS | Discrete Mathematics| Combinatorics

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For each choice of the thousands digit, there are 6 numbers with that as the thousands digit. Thus, the six smallest are in the two thousands, the next six are in the four thousands, and then we need 5 more numbers.

We can just list from here: $5247,5274,5427,5472,5724 \rightarrow$ □ B .
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given 4 digits 2,4,5,7 listed in numerical order  from smallest to largest

so first pick 2 -> arrange 4,5,7 -> 3! = 6 combinations

2nd pick 4 -> arrange 2,5,7 -> 3!= 6 combinations

12 combinations done out of 17

now pick 5 -> arrange 2,4,7 in numerical order

(13th. 5247),(14th. 5274),(15th. 5427),(16th. 5472),(17th. 5724)

so the answer is (B 5724)
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