Question Number 5280 by Rasheed Soomro last updated on 04/May/16 $$\mathrm{A}\:\mathrm{delegation}\:\mathrm{of}\:\mathrm{4}\:\mathrm{people}\:\mathrm{is}\:\mathrm{to}\:\mathrm{be} \\ $$$$\mathrm{selected}\:\mathrm{from}\:\mathrm{5}\:\mathrm{women}\:\mathrm{and}\:\mathrm{6}\:\:\mathrm{men}. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{possible}\:\mathrm{delegations}\:\mathrm{if} \\ $$$$\left(\boldsymbol{\mathrm{a}}\right)\:\mathrm{there}\:\mathrm{are}\:\mathrm{no}\:\mathrm{restrictions}, \\ $$$$\:\left(\boldsymbol{\mathrm{b}}\right)\:\mathrm{there}\:\mathrm{is}\:\mathrm{at}\:\mathrm{least}\:\mathrm{1}\:\mathrm{woman}, \\ $$$$\left(\boldsymbol{\mathrm{c}}\right)\:\mathrm{there}\:\mathrm{are}\:\mathrm{at}\:\mathrm{least}\:\mathrm{2}\:\mathrm{women}. \\ $$$$\mathrm{One}\:\mathrm{of}\:\mathrm{the}\:\mathrm{men}\:\mathrm{cannot}\:\mathrm{get}\:\mathrm{along}\:\mathrm{with}\:\: \\ $$$$\mathrm{one}\:\mathrm{of}\:\mathrm{the}\:\mathrm{women}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}…
Question Number 5275 by sanusihammed last updated on 03/May/16 Answered by Rasheed Soomro last updated on 04/May/16 $$\mathrm{Three}\:\mathrm{members}\:\mathrm{of}\:\mathrm{the}\:\mathrm{commetee}\:\mathrm{of}\:\mathrm{six} \\ $$$$\mathrm{are}\:\mathrm{chairman},\:\mathrm{secratery}\:\mathrm{and}\:\mathrm{treasurer}. \\ $$$$\mathrm{Remaining}\:\mathrm{3}\:\mathrm{members}\:\mathrm{are}\:\mathrm{chosen}\:\mathrm{out}\:\mathrm{of} \\ $$$$\mathrm{7}\:\mathrm{members}: \\…
Question Number 5254 by Rasheed Soomro last updated on 02/May/16 $$\mathrm{Calculate}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{ways}\:\mathrm{in}\:\mathrm{which} \\ $$$$\left(\boldsymbol{\mathrm{a}}\right)\:\mathrm{5}\:\mathrm{children}\:\mathrm{can}\:\mathrm{be}\:\mathrm{divided}\:\mathrm{into}\:\mathrm{groups} \\ $$$$\mathrm{of}\:\mathrm{2}\:\mathrm{and}\:\mathrm{3}\:, \\ $$$$\left(\boldsymbol{\mathrm{b}}\right)\:\mathrm{9}\:\mathrm{children}\:\mathrm{can}\:\mathrm{be}\:\mathrm{divided}\:\mathrm{into}\:\mathrm{groups} \\ $$$$\mathrm{of}\:\mathrm{5}\:\mathrm{and}\:\mathrm{4}, \\ $$$$\mathrm{Hence}\:\mathrm{calculate}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{ways}\:\mathrm{in} \\ $$$$\mathrm{which}\:\mathrm{9}\:\mathrm{children}\:\mathrm{can}\:\mathrm{be}\:\mathrm{divided}\:\mathrm{into} \\ $$$$\mathrm{groups}\:\mathrm{of}\:\mathrm{2},\mathrm{3}\:\mathrm{and}\:\mathrm{4}.…
Question Number 135797 by benjo_mathlover last updated on 16/Mar/21 $$ \\ $$How do you solve f(3) when f(-1) = -1 and f(0) =1 and f(x)…
Question Number 135599 by liberty last updated on 14/Mar/21 Answered by mathDivergent last updated on 14/Mar/21 $$\mathrm{2}^{\mathrm{8}} ,\:\mathrm{I}\:\mathrm{have}\:\mathrm{blunder} \\ $$ Commented by EDWIN88 last updated…
Question Number 135490 by benjo_mathlover last updated on 13/Mar/21 $${Combination} \\ $$A committee of 8 people is to be formed from 7 women and 5…
Question Number 135303 by bobhans last updated on 12/Mar/21 $$ \\ $$in how many ways can 10 people be seated in a round table if…
Question Number 4164 by Yozzii last updated on 30/Dec/15 Commented by Yozzii last updated on 30/Dec/15 $${Can}\:{anyone}\:{provide}\:{a}\:{well}\:{explained} \\ $$$${proof}\:{of}\:{this}\:{formula}?\:{I}\:{don}'{t} \\ $$$${understand}\:{why}\:{it}\:{works}. \\ $$ Commented by…
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Question Number 135218 by benjo_mathlover last updated on 11/Mar/21 $$\mathrm{Permutation} \\ $$How many ways can 10 men and 7 women sit at a round table…