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A four digit number is to be formed usin...

A four digit number is to be formed using the digits 1,2,3, 4, 5,6,7 (no digit is being repeated in any number) . Then , the probability that it is `gt 4000` , is

A

`3//2`

B

`1//2`

C

`4//7`

D

`3//7`

Text Solution

Verified by Experts

The correct Answer is:
C
Total cases = `""^(7)P_(4) = 840`
Favourable cases `= 4 xx 6 xx 5 xx 4 = 480`
`therefore` Required probability = `(480)/(840) = (4)/(7)`
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