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Kuldeep Yadav became his 700th victim on day three of the contest, when the batter fell caught behind.
20-year-old Bashir will replace Somerset teammate Jack Leach, who hurt his left knee while fielding in Hyderabad, where England grabbed a 1-0 lead in the five-match series.
Anderson and Broad belong to the genre of cricketers whose potency, efficiency and menace with the ball increased manifold while bowling in tandem.
Moeen Ali, Chris Woakes and Mark Wood come into the playing XI as the hosts look to overturn a 2-0 deficit in the series.
The veteran seamer's fitness will be assessed before next month's Ashes warm-up Test against Ireland.
Anderson dropped to second place after England's stunning loss to New Zealand in the Wellington Test.
Jadeja has moved up to ninth position after his 10-wicket match haul in the second Test against Australia.
Pakistan fought gamely and put on 268 before being all out in the absorbing final session, with Saud Shakeel top-scoring for them with 76.
Anderson's duel with Indian stalwart Virat Kohli will be an interesting sub-plot of the match beginning on Friday.
Barbados Royals took their 'longevity' to an altogether different level, positing 'images' of the two bowlers -- who share in the vicinity of 1,200 Test wickets among themselves -- in circa 2053 when Anderson would be nearly 70 years old and Broad around 66.