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Question

Suppose 5digit numbers are formed by the digits 1,2,3,4 and 5 without repetition . If they are arranged in an ascending order, then 100th number is

A
51243
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B
51423
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C
51234
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D
51342
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Solution

The correct option is B 51342
Let
1 at ten thousand place
Total numbers formed =4!=24
Similarly with ten-thousand be 2
Total numbers =4!=24
with 3 at ten thousand place 24
and with 4 at ten thousand place 24
Total numbers =24+24+24+24
=96
Now we have 5 at ten-thousand place.
5123497th
5 1 2 4 398th
5 1 3 2 499th
5 1 3 4 2100th
5 1 3 4 2

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