1. The sum of all the observations is f1x1+ f2x2+ . . .+fnxn, and number of observationsisf1+ f2+. . .+fn.
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and Fn+2 = Fn+1 + Fn for all n ≥ 0. Prove that n. ∑ ... number of permutations of [n] with ai cycles of length i for each i is n! 1a1 2a2 ··· nan ... We break into cases based on the total number of distinct colors used. ... find that the generating function for the number of compositions into k such parts of (x+x2 +x3 +x4 +x5)k = yk.
1 day ago — Find an answer to your question 1. The sum of all the observations is f1x1+ f2x2+ . . .+fnxn, and number of observationsisf1+ f2+. . .+fn.
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