The seat is falling vacant on April 2 following the expiry of Nadda's first term.
The victory of the BJP candidate was a foregone conclusion as it has strength of 44 in the 68-member House, followed by the Congress with 21, BPI (M) with 1 and two independent candidates.
The last date of filing nominations is tomorrow, scrutiny of nomination papers would take place on March 13 and the last date of withdrawal is March 15.
Nadda was elected unopposed in 2012 also. Some other leaders, including former chief minister Shanta Kumar, deputy leader of Congress in Rajya Sabha Anand Sharma and sitting Rajya Sabha member Viplov Thakur were also elected unopposed.
There are three Rajya Sabha seats in Himachal and while the Congress has two seats and the BJP has one.
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