Archangel Macsika
Find the number of ways in which the word "BREAD' can be arranged when i) B and D take end places ii) E is placed in middle iii) vowels E and A always come together iv) vowels E and A never come together
The Answer to the Question
is below this banner.
Can't find a solution anywhere?
NEED A FAST ANSWER TO ANY QUESTION OR ASSIGNMENT?
Get the Answers Now!You will get a detailed answer to your question or assignment in the shortest time possible.
Here's the Solution to this Question
i) B and D take end places
RAEBD
ERABD
EARBD
AERBD
AREBD
Thus it equals 6 ways
ii) E is placed in middle
BREAD, BREDA, BAEDR, BAERD, BDERA, BDEAR,RDEBA, RAEDB, RAEBD, RDEAB, AREBD, ABEDR,ABERD, AREDB,DBERA,ADERB,ADEBR,DBEAR,DREBA,DREAB, DEARB,DEABR, DAEBR,DAERB
Thus it equals 24 ways
iii) vowels E and A always come together
BREAD, BRDEA, BEARD, BEADR, BDREA, BDEAR, RBEAD, READB, REABD, RBDEA, RDBEA, RDEAB, EABRD, EABDR, EARBD, EADRB, EADBR, EARDB, DBREA, DREAB, DRBEA, DBEAR, DEABR,DEARB,
Thus it equals 24 ways
iv) vowels E and A never come together
this equals to (5*4*3*2*1) - ways that( vowels E and A always come together)
which yields ( 120)- (24) = 96 ways