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!

Answer 1

how many letters are there in the sentence

Answer 2

UP THE BIG SKY WORLD

Answer 3

they are 16 and all of them are uniq

Answer 4

26 letters can be arranged in 26!

Answer 5

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

Answer 6

26! - (26-16+1) x 16!

permutations will not have the letters in given sentence all together

Answer 7

can you explain your second last point?

Answer 8

@ganeshie8

Answer 9

16 letters are to be all together

Answer 10

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

Answer 11

yep k

Answer 12

total 17 groups

Answer 13

kk

Answer 14

ok forget it

Answer 15

ok, i got it now.

Answer 16

actually its not 17 groups,

1 group and (26-11) letters
= 1 + 10
= 11 groups

Answer 17

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

Answer 18

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

Answer 19

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