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Help understand truth value of $\exists !\,x\;P(x) \implies \exists x\;P(x)$

score 424 · Answer 1 · 2026-03-25 17:40:47

424

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Help understand truth value of $\exists !\,x\;P(x) \implies \exists x\;P(x)$

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418

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474

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39

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Find series which of generating function is $A(z) = z^{3} A(z) +1 $ and equation for n'th element of series.

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List Question

Help understand truth value of $\exists !\,x\;P(x) \implies \exists x\;P(x)$

How to apply Principle of Inclusion and Exclusion in Combinatorics

Probability of drawing the Jack of Hearts?

Finding a recurrence for $t_n$ that holds true for a set of integers

every planar graph can be expressed as a union of (maximum) five forests

How to prove the argument's validity using rules of inference.

Probability of a symmetric distribution in a set divided into two subsets

Mathematical induction: $n^4 + n$

6-digit passcode that contain exactly one multiple of 3 if digits can be repeated.

How many possible passcode in 6-digit passcode that contains exactly four odd digits (can't be repeated)

Intuitive understanding of Pascal's Identity

Two independent random variable with the same density.

removing edges from a completely connected graph

Seat n people in 4 benches

Find series which of generating function is $A(z) = z^{3} A(z) +1 $ and equation for n'th element of series.

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