Initially I was searching for a solution of the
alphametic
NO*NO=YES
and discovered that there are 4 distinct solutions.
Find them.
Later, while searching for a single solution I have discovered the following:
a). The 3-letter valid words that qualify as the product NO*NO must consist of 3 distinct letters, one of them being
either “n “ or “o,”
Provide as many examples as you may .
b).There are many 4-letter words complying with the above
statement.
Show some examples.
c)Product with 4 distinct digits have 7 distinct solutions.
Find them.
d) 4-letter word solutions with neither “n” or”o” must consist of 3 distinct letters (one letter repeated).
Show at least 20 examples.
Main puzzle:
The four solutions to NO*NO = YES:
NO YES
18 324
29 841
17 289
24 576
Part a:
The available solutions repeating N or O:
NO
13 169
14 196
16 256
19 361
23 529
25 625 (this could have both N and O)
27 729 (this could have both N and O)
28 784
31 961
Available words follow. For example AGO would refer to 16*16 = 256, or 31*31 = 961.
Some extraneous words are inclueded, such as NOT, which does not have the correct sequence; this happens only in cases with both N and O and do not meet the conditions of the two arithmetic cases that display this characteristic.
abo
ado
ago
ain
and
ane
ani
ant
any
avo
awn
azo
ban
ben
bin
bio
boa
bod
bog
bop
bos
bot
bow
box
boy
bro
bun
can
cob
cod
cog
col
con
cop
cor
cos
cot
cow
cox
coy
coz
den
din
doc
doe
dog
dol
dom
don
dor
dos
dot
dow
dun
duo
ego
end
eng
ens
eon
ern
fan
fen
fin
fob
foe
fog
foh
fon
fop
for
fou
fox
foy
fro
fun
gan
gen
gin
gnu
goa
gob
god
gor
gos
got
gox
goy
gun
hao
hen
hin
hob
hod
hoe
hog
hon
hop
hot
how
hoy
hun
ink
ins
ion
jin
job
joe
jog
jot
jow
joy
jun
ken
kin
koa
kob
koi
kop
kor
kos
lin
lob
log
lop
lot
low
lox
man
men
mho
moa
mob
moc
mod
mog
mol
mon
mop
mor
mos
mot
mow
mun
nab
nae
nag
nah
nam
nap
naw
nay
neb
net
new
nib
nil
nim
nip
nit
nix
nob
nod
nog
noh
nom
nor
nos
not
now
nth
nub
nus
nut
one
ons
own
pan
pen
pin
pod
poh
poi
pol
pom
pot
pow
pox
pro
pun
ran
rho
rin
rob
roc
rod
roe
rom
rot
row
run
sen
sin
sob
sod
sol
som
son
sop
sot
sou
sow
sox
soy
sun
syn
tan
tao
ten
tho
tin
tod
toe
tog
tom
ton
top
tor
tow
toy
tun
two
udo
uns
upo
urn
van
voe
vow
vox
wan
wen
who
win
woe
wog
wok
won
wop
wos
wot
wyn
yen
yin
yob
yod
yok
yom
yon
you
yow
zin
zoa
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Posted by Charlie
on 2021-06-09 14:09:55 |
main problem and a
