How many meaningful words can be made from given letters (picked by position from a word)

This type of question, asked 3 times: 26 Oct 2023 Tier II, 18 Jan 2025 Tier II, 20 Jan 2025 Tier II. All 3 questions below, oldest first.

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Question 1
26 Oct 2023 Tier II
54 $How many meaningful English words can be formed with the second, fourth, fifth, and sixth letters of the word HOCKEY (when counted from left to right) using each letter only once in each word?$
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Question 2
18 Jan 2025 Tier II
44 $How many meaningful English words can be formed using first, third, sixth and seventh letters of the word RECOGNIZE (when counted from left to right) using all the letters but each letter only once in each word?$
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Question 3
20 Jan 2025 Tier II
52 $How many six-lettered meaningful words can be formed using all these letters but each letter only once in the word. R F I G E D$
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Question 1