Position of ‘EACH’ when it’s used after the subject, and agreement of verb in such a case
Use of ‘EACH’ after the subject
When we use EACH after a subject, that subject is always plural and therefore the verb is also in the plural. Pronouns and possessive adjectives used for that subject are also in the plural.
If the verb consists of only one word we put EACH between the subject and the verb, if there is more than one word in the verb, EACH is put after the first word of the verb. If the verb is BE (are/were), EACH is put after BE; e.g.
a) The coach and the quarterback each want to win the championship. (WANT is the verb, means one word verb)
b) We each agreed to help by contributing some money towards the cost. (AGREED is the verb, means one word verb)
c) We would each say a poem or sing a song. (WOULD SAY is the verb, means two word verb)
d) Have you each signed the contract? (HAVE SIGNED is the verb, means two word verb)
e) Husband and wife are each entitled to invest up to the maximum of Rs 40,000. [BE (are) is the verb, ENTITLED is an adjective.]
NOTE-I: When EACH follows a plural subject, the verb and pronoun for the subject are plural; e.g.
INCORRECT: The apartments each has its own private entrances.
CORRECT: The apartments each have their own private entrances.
NOTE-II: When EACH follows the verb, we can use the pronoun either in the singular or in the plural; e.g.
The boys have each their own bikes.
= The boys have each his own bike.