the letters of the word WOMAN are written in all possible orders and these words are written out as?

Question

in dictionary,then the rank of the word WOMAN is

options
a.117
b.120
c.118
d.119

plz explain in steps

Answer 1

5 distinct letters. there are 5! (120) possible combinations. in dictionary order, entry 120 would be

WONMA, 119 would be WONAM, 118 would be WOMNA, and 117 would be WOMAN. The answer is a. 117.

Answer 2

WOMAN came from MAN.



M A N + W O M A N =2 persons



Let A(1), M(13), N(14), O(15), W(23)



M(13)+A(1)+N(14) + W(23)+O(15)+M(13)+A(1)+N(14) + M(13)+A(1)+N(14) = (2 persons)



(13+1+14+23+15+13+1+14+13+1+14) = 2 + x



122 = 2 + x



Therefore, Possible no.of womans to get, x : 120

Answer 3

I think you mean how many different ways can the letters of the word 'woman' be arranged. In that case in can be worked out as follows:



'w' can be in 5 different places in the word. Fix 'w'.

'o' now has 4 different possible places in the word. Fix 'o'.

'm' now has 3 different possible places in the word. Fix 'm'.

'a' now has 2 different possible places. Fix 'a'.

'n' now has only 1 possible place. Fix 'n'.



5 x 4 x 3 x 2 x 1 = 120.

So there are 120 possible combinations.



Hope this helps!

Answer 4

Five letters and all different, so you put them in order.



__ __ __ __ __

W O M A N

O M A N

M A N

A N

N



5 . 4 . 3 . 2 . 1 = 5! = 120

Answer 5

Arrangement of letters in WOMAN = 5!=120.

and the letter W in WOMAN comes at last according to dictionary so the Word WOMAN will come al last position of total arrangement . thus the correct answer is 120.

Answer 6

alphabetical order is a,m,n,o,w

1st take 'a'

a _ _ _ _ so we arrange remaining 4 letters m,n,o,w in 4 places in 4! ways

next take 'm'

m _ _ _ _ so we arrange remaining 4 letters a,n,o,w in 4 places in 4! ways

next take 'n'

n _ _ _ _ so we arrange remaining 4 letters a,m,o,w in 4 places in 4! ways

next take 'o'

o _ _ _ _ so we arrange remaining 4 letters a,m,n,w in 4 places in 4! ways

next take 'w', as woman starts with w fill the next letter in the blank. so next letter is 'a' (according to alphabetical order given above)

w a _ _ _ so we arrange remaining 3 letters m,n,o in 3 places in 3! ways

next take 'm'

w m _ _ _ so we arrange remaining 3 letters a,n,o in 3 places in 3! ways

next take 'n'

w n _ _ _ so we arrange remaining 3 letters a,m,o in 3 places in 3! ways

next take 'o', as 2nd letter is 'o' fill the next letter in the blank. so next letter is 'a' (according to alphabetical order given above)

w o a _ _ so we arrange remaining 2 letters m,n in 2 places in 2! ways

next take 'm', as 3nd letter is 'm' fill the next letter in the blank. so next letter is 'a' (according to alphabetical order given above) since the 4th letter is 'n' fill the next letter in the blank i.e n

w o m a n we will get 1 arrangement

so adding all the cases

4!+4!+4!+4!+3!+3!+3!+2!+1=4*4!+3*3!+2!+1=96+18+2+1=117

Answer 7

No. of words starting with A => 4!

M => 4!

N => 4!

O => 4!

WA => 3!

WM => 3!

WN => 3!

WO => 3!

WOA => 2!

next is WOMAN



rank of WOMAN = 4*(4!) + 3*(3!)+ 2! + 1 = 117

Answer 8

what does w stands for and o then m and a then n