Rachel Ashby, 21, of Partridge Way in High Wycombe, Kyle Docherty, 20, of Wye Road in Wooburn Green, George Green,19, of Coventon Road in Aylesbury, and Tahir Tetlay, 26, of Walton Drive in High Wycombe, were sentenced at Aylesbury Crown Court on Monday.
Staff at Corals bookmakers in St Mark's Crescent were threatened with a Stanley knife by Ashby on January 6 and cash was stolen.
A taxi driver in Barleyfields, in Wooburn Green, was also threatened with a knife and robbed on the same day.
The group also carried out a further robbery and three attempted robberies between January 5 and 7 in Aylesbury and High Wycombe.
Sergeant David Whiteaker from High Wycombe police station said: "Docherty, Green and Tetlay took advantage of a vulnerable young woman to draw her into committing a series of nasty robberies that have had a lasting effect upon a number of victims; and this has been reflected in their sentencing.
"These convictions will hopefully act as a deterrent to those who may feel that they can avoid prosecution by having others commit offences on their behalf."
Ashby was sentenced to two years imprisonment suspended for two years and ordered to pay a £100 victim surcharge.
Docherty was sentenced to 38 months detention in a young offenders' institution while Green was sentenced to 36 months detention in a young offenders' institution.
Tetlay was sentenced to 34 months imprisonment and disqualified from driving for 12 months. He was also made to pay a £120 victim surcharge."
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The crash, which took place at about 7am today (Thursday), involved three vehicles. One man sadly died as a result of the collision and his next of kin have been informed.