The number of ways the letters of the alphabet can be placed in a straight line with the restriction that the letters of the sentence UP THE BIG SKY WORLD must not be together is:

A 26! − 11!16!

B 26! + 16!

C 16! − 8!

D 6!16!

E 6!16!26!

Question

The number of ways the letters of the alphabet can be placed in a straight line with the restriction that the letters of the sentence UP THE BIG SKY WORLD must not be together is:

  A 26! − 11!16!

  B 26! + 16!

  C 16! − 8!

  D 6!16!

  E 6!16!26!

ganeshie8 · Answer

how many letters are there in the sentence

ganeshie8 · Answer

UP THE BIG SKY WORLD

ganeshie8 · Answer

they are 16 and all of them are uniq

ganeshie8 · Answer

26 letters can be arranged in 26!

ganeshie8 · Answer

out of these permutations (26-16+1) x 16! will have the letters in given sentence together

ganeshie8 · Answer

26! - (26-16+1) x 16!

permutations will not have the letters in given sentence all together

anonymous · Answer

can you explain your second last point?

anonymous · Answer

@ganeshie8

ganeshie8 · Answer

16 letters are to be all together

ganeshie8 · Answer

26 letters are divided into one group of 16 letters +  rest of the letters

anonymous · Answer

yep k

ganeshie8 · Answer

total 17 groups

anonymous · Answer

kk

ganeshie8 · Answer

ok forget it

anonymous · Answer

ok, i got it now.

ganeshie8 · Answer

actually its not 17 groups,

1 group and (26-11) letters 
 = 1 + 10 
= 11 groups

anonymous · Answer

yeh i thought that was weird and above u did correctly.

ganeshie8 · Answer

11 groups will form 11! permutations
each of the permutation will have 16! permutations for the given sentence

ganeshie8 · Answer

yeah 17! is misleading. i messed up there. excuse that :D