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Home » Find how many multiples of 28 are in \( \1, 2, \dots, 84\ \): - Veritas Home Health

Find how many multiples of 28 are in \( \1, 2, \dots, 84\ \): - Veritas Home Health

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Mar 01, 2026

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4^6 = (2^2)^6 = 2^{12} = 4096
\times 4096 = 20480
Therefore, the number of such sequences is $\boxed{20480}$.
Question: A home-schooled student models planetary alignments using 4...
Solution: We are distributing $4$ distinguishable satellites into $2$...
This is equivalent to counting the number of unordered partitions of a...
Since the slots are indistinct, we count partitions of the set of 4 sa...
Partitions into 1 subset: only $1$ way — all satellites in one slot.
Partitions into 2 non-empty indistinct subsets: this is the number of...
We compute $S(4,2)$:

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