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Question Number 117972 by Ar Brandon last updated on 14/Oct/20

$$\mathrm{The}\mathrm{number}\mathrm{of}\mathrm{surjections}\mathrm{of}\{1,2,3,4\}\mathrm{onto}\{\mathrm{x},\mathrm{y}\}\mathrm{is}$$$$\left(\mathrm{A}\right)16\left(\mathrm{B}\right)8\left(\mathrm{C}\right)14\left(\mathrm{D}\right)6$$

Answered by Lordose last updated on 14/Oct/20

$$\mathrm{N}=2^{\mathrm{n}\left(\mathrm{A}\right)-1}=2^3=8$$$$\mathrm{Guessed}$$

Commented by Ar Brandon last updated on 14/Oct/20

Thanks

Commented by Ar Brandon last updated on 14/Oct/20

Is it a formula ?

Commented by Lordose last updated on 14/Oct/20

It's like (2ⁿ ÷ 2) since it {x,y}

Commented by Ar Brandon last updated on 14/Oct/20

OK thanks ��

Commented by Ar Brandon last updated on 14/Oct/20

Oops ! Sorry to trouble you. C.14 is the correct answer from my book. But there isn't any demonstration.

Answered by bemath last updated on 14/Oct/20

$$2^4=16$$

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