5.089 "Early in the morning, smiling Igor was dashing barefoot to go fishing." How many different meaningful sentences can be formed using part of the words from this sentence without changing their order of succession?

将上面的文本翻译成英文，请保留源文本的换行和格式，直接输出翻译结果。
Solution. Let's break down the original sentence into phrases and number them with Roman numerals, and the words in these phrases with Arabic numerals:

"early in the morning" - I, "to go fishing" - II, "smiling Igor" - III, "ran barefoot" - IV.

In each meaningful sentence composed of phrases I-IV, either III or III. 2 (2 options) must be present together with either phrase IV or IV. 1 (2 options). Phrase I can either be absent, present in full, or in the form of 1.2 (3 options). Phrase II is either absent or fully present (2 options). In the end, we can form $2 \cdot 2 \cdot 3 \cdot 2=24$ variants of meaningful sentences, with one of the variants coinciding with the original sentence. Considering the condition of the problem to form sentences from parts of words, we ultimately get 23 such sentence variants.

Answer: 23.