Question

║⊕QUESTION⊕║
“Beauty is the first test; there is no permanent place in the world for ugly mathematics.” -Godfrey Harold Hardy
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CLASS 11
PERMUTATIONS AND COMBINATIONS
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In how many ways can the letters of the word 'HONEST' be arranged so that :
a) S and T may always be together?
b) S and T may never be together?

Answer 1

Total Letters=6

Let S and T be in the Box

so no. of letters=4+box=5

therefore

a)Arrangment of 5 letters =5!

and swapping places of 2!

therefore

answer for a) 5!.2! =120 x 2=240

b) total - Together

Total=6!

i.e 720

720-240

=480

done✓

Answer 2

Answer:

I HOPE IT'S HELP YOU

SORRY IF IN MY ANSWER ANY MISTAKE