Co. B hosted a party for 8 members of co A. In the party no member of A had interacted with more than 3 members of B. Out of all the members of B, 3 members-each interacted with 4 members of A nd remaining members-each inetracted with 2 members of co.A. The greatest possible no of members of COB in the party is:9101112none@krum
Think you have 8 dots(Co A) on one side and 3+x dots(Co B) on other side So no of line connecting one dot from each side is maximum 8.3=24 Also we have that 3 on the other can have max 4 i.e 12 and and the remaining x will have 2 so 2x Hence 24=12+2x=>x=6 So 9
There is a fam with father , mother and 6 children A thru F. They have to attend a party for which only one among the mother/father can attend along with any no of kids subject to the foll constraints: 1) B or C won't go along with their mother 2) F goes only if A or D goes In how many ways can the fam attend the party? 71 67 79 70 100 plz share the approach also..
There is a fam with father , mother and 6 children A thru F. They have to attend a party for which only one among the mother/father can attend along with any no of kids subject to the foll constraints:1) B or C won't go along with their mother2) F goes only if A or D goesIn how many ways can the fam attend the party?71677970100plz share the approach also..
when Father goes when A goes, not D - 2^4 when D goes, not A - 2^4 both A and D go - 2^4 when both don't go - 2^3
when Mother goes when A goes, not D - 2^2 when D goes, not A - 2^2 both A and D go - 2^2 when both don't go - 2
There is a fam with father , mother and 6 children A thru F. They have to attend a party for which only one among the mother/father can attend along with any no of kids subject to the foll constraints:1) B or C won't go along with their mother2) F goes only if A or D goesIn how many ways can the fam attend the party?71677970100plz share the approach also..
@krum : Similar to the qs on Co A and B that I posted above...using the same approach am not getting the rite ans ...see, A certain no of girls and 10 boys attended a party. No boy shakes hands with more than 4 grls.Out of all the grls, 4 of the grls shook hands with 4 boys each and each of the rem girls shook hands with 3 boys. the greatest possible no of grls? using the app above: 4+6C3=24 which is wrong!!
There is a fam with father , mother and 6 children A thru F. They have to attend a party for which only one among the mother/father can attend along with any no of kids subject to the foll constraints:1) B or C won't go along with their mother2) F goes only if A or D goesIn how many ways can the fam attend the party?71677970100plz share the approach also..
We can select the Father/Mother in 2 ways and one or more from 6 in 2^6 So total 2.2^6 = 2^7
Now, say mother goes and B also goes then the remaining can be selected in 2^5 ways Same when C goes 2^5 So we need to subtract these cases So Net =2^7-2^5-2^5 But we have subtracted the case where both B and C go which will be 2^4 ways so add this . Net = 2^7-2^5-2^5+2^4
Now say F goes with father, then we will assume A and D are not going this makes 2^3 ways If F goes with mother can only E acn go so 1 way Hence Net = 2^7-2^5-2^5+2^4 - 8 -1 = 71
@krum : Similar to the qs on Co A and B that I posted above...using the same approach am not getting the rite ans ...see,A certain no of girls and 10 boys attended a party. No boy shakes hands with more than 4 grls.Out of all the grls, 4 of the grls shook hands with 4 boys each and each of the rem girls shook hands with 3 boys. the greatest possible no of grls?using the app above: 4+6C3=24 which is wrong!!
is it 12?
cant generalize it, as there is other constraint that each boy shakes hand with max. 4 girls
@krum : Similar to the qs on Co A and B that I posted above...using the same approach am not getting the rite ans ...see,A certain no of girls and 10 boys attended a party. No boy shakes hands with more than 4 grls.Out of all the grls, 4 of the grls shook hands with 4 boys each and each of the rem girls shook hands with 3 boys. the greatest possible no of grls?using the app above: 4+6C3=24 which is wrong!!
@krum : Similar to the qs on Co A and B that I posted above...using the same approach am not getting the rite ans ...see,A certain no of girls and 10 boys attended a party. No boy shakes hands with more than 4 grls.Out of all the grls, 4 of the grls shook hands with 4 boys each and each of the rem girls shook hands with 3 boys. the greatest possible no of grls?using the app above: 4+6C3=24 which is wrong!!
...see,
