Category: Permutation and Combination

Question Number 84998 by jagoll last updated on 18/Mar/20 $$\mathrm{what}\mathrm{is}\mathrm{coefficient}\mathrm{of}{\mathrm{x}}^{29}$$$$\mathrm{in}\mathrm{expression}{(1+{\mathrm{x}}^5+{\mathrm{x}}^7+{\mathrm{x}}^9)}^{29}$$ Answered by mind is power last updated on…

Question Number 149955 by jlewis last updated on 08/Aug/21 $$\mathrm{If}\mathrm{a}\mathrm{group}\mathrm{consist}\mathrm{of}8\mathrm{men}\mathrm{and}6\mathrm{women},$$$$\mathrm{in}\mathrm{how}\mathrm{many}\mathrm{ways}\mathrm{can}\mathrm{a}\mathrm{committee}\mathrm{of}$$$$5\mathrm{be}\mathrm{selected}\mathrm{if}:$$$$\mathrm{i})\mathrm{the}\mathrm{committee}\mathrm{is}\mathrm{to}\mathrm{consist}\mathrm{of}3\mathrm{men}$$$$\mathrm{and}3\mathrm{women}.$$$$\mathrm{ii})\mathrm{there}\mathrm{are}\mathrm{no}\mathrm{restrictions}\mathrm{on}\mathrm{the}$$$$\mathrm{number}\mathrm{of}\mathrm{men}\mathrm{and}\mathrm{women}\mathrm{on}\mathrm{the}$$$$\mathrm{committee}. \…

Question Number 84125 by redmiiuser last updated on 09/Mar/20 $$isitpossibletofind$$$$theno.ofpositive$$$$integralsolutions$$$$ofx+y+2z+3c=7$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 149437 by SLVR last updated on 05/Aug/21 Commented by SLVR last updated on 05/Aug/21 $$kindlysolutionplease$$ Answered by Olaf_Thorendsen last updated on…

Question Number 17770 by chux last updated on 10/Jul/17 $$\mathrm{Find}\mathrm{the}\mathrm{number}\mathrm{of}\mathrm{ways}\mathrm{the}$$$$\mathrm{digits}0,1,2\mathrm{and}3\mathrm{can}\mathrm{be}\mathrm{permuted}$$$$\mathrm{to}\mathrm{give}\mathrm{rise}\mathrm{to}\mathrm{a}\mathrm{number}\mathrm{greater}$$$$\mathrm{than}2000.$$ Answered by alex041103 last updated on 10/Jul/17…