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Question Number 206511 by naka3546 last updated on 17/Apr/24

Commented by mr W last updated on 17/Apr/24

$$igot17178.$$

Commented by A5T last updated on 17/Apr/24

$${}^{18}{C}_6{-}^{12}{C}_6{-}^{11}{C}_6+({}^5{C}_6=0)=17178$$

Commented by A5T last updated on 17/Apr/24

$$Tochoosenstudentsgenerally:$$$$C_n{-}^{12}{C}_n{-}^{11}{C}_n{+}^5{C}_n({}^x{C}_y=0wheny>x)$$

Answered by mr W last updated on 17/Apr/24

Commented by mr W last updated on 17/Apr/24

$$usinggeneratingfunctions...$$$$toselect6students:17178ways$$$$toselect10students:43681ways$$$$toselect4students:2240ways$$$$......$$

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