Q .     Three numbers are chosen at random without replacement from `{1, 2,…, 10}`. The probability that the minimum of the chosen number is `3`, or their maximum is `7`, is … .

JEE 1997
A

`17/40`

B

`11/40`

C

`11/20`

D

`11/30`

HINT

`E_1` be the event getting minimum number `3` and `E_2` be the event getting maximum number 7`∴ P(E_1 ∪ E_2 ) = P(E_1 ) + P(E_2 ) - P(E_1 ∩ E_2 )`
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