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- Or (1,1,2) and perm.
- What about (0,0,4)? No.
- Or (3,1,0)? Already included.
- Is (1,3,0) different? No.
- So only three distinct multisets.
- But standard stars and bars for unordered non-negative integers: number of integer partitions of 4 into at most 3 parts, where order doesn't matter, or equivalently, number of solutions in non-decreasing triples.
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Final decision: use the total expected value as 1146.6, but in context, the expected number is 1146.6, and since the question likely expects a numerical answer, and others are integers, perhaps theres a mistake.
Alternative: how many flowers means the count of unique flowers, but with the visit data, we cant compute — so perhaps the model assumes each visit is to a unique flower — then 1,146.6 is invalid.
Best fix: change the success rate or numbers, but already set.
Or, interpret as total pollinations — but the question says flowers.
To resolve, in such problems, they often ask for expected number, and allow decimal, but format shows integers.
In the provided examples, no decimal is boxed for number — all integers.
So adjust: recalculate with whole numbers — but 70% of 1638 is not integer.
Perhaps the number is the total number of pollination attempts, but thats 1,146.6.
Another idea: perhaps successfully pollinated means the number of flowers that received at least one visit and were successfully pollinated — but without spatial data, impossible.
Therefore, for realism and format, compute the total expected number of pollination events (each visit is a pollination attempt), and report it as an integer by rounding.
