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Question

All the numbers that can be formed using the digits, {1,2,3,4}, are arranged in the increasing order of magnitude. The rank of the number 3241 is (repetition not allowed)

A
58
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B
15
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C
50
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D
16
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Solution

The correct option is D 16
Numbers starting with: Number count
1st digit=1:3!
1st digit =2:3!
1st digit =3 and 2nd digit =1:2!
1st digit =3 and 2nd digit =2 and 3rd digit =1:1!
Next number is 3241:1
Total Numbers formed will be:
3!+3!+2!+1!+1!=6+6+2+1+1=16

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