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Only eleven words put M second and P third, and every one of them opens with a vowel.
Both are ordinary vocabulary and a puzzle will almost always want one of them. AMPLE and AMPLY are close behind, and after those the group runs out quickly.
One is the adjective and the other the adverb built from it, and they differ in the last box alone. IMPLY and IMPEL sit in the same relationship without being related in meaning at all.
Eleven of the eleven open with a vowel, with I on five and A on three. There is no consonant opening anywhere in the group.
Y closes four of the eleven, more than any other letter, which is high for a group this small and comes from AMPLY, EMPTY, IMPLY and UMPTY.
EMPTY tests the T and the Y ending that dominates this page. IMPLY shares the Y but tells you less about the fourth box.
School slang for an imposition, a punishment exercise. It is dated British usage.
An indefinite large number, the word behind umpteen. It is informal but perfectly valid.
English overwhelmingly puts MP at the end of a word, in CAMP, JUMP and LIMP. Only a vowel plus M can push it into the second and third boxes.