Hi Sayali, That seems to be too many places for five days. I suggest you to stay for 1 day in Rishikesh 2 days in Mussoorie and further 2 days at Chamba. You can read more about these places in the guides attached below and also find stay suggestions. Keep exploring!
Hey! If you are planning a trip to Uttrakhand in May 2018 then I suggest you to get a affordable tour package for it It covers all destinations you mentioned .You may visit at this link: https://packagestour.com/uttarakhand-tour-packages/