Question

From the word 'signature', find the number of words where no two letters from n,t and r come together. ​

Answer 1

Answer:

SIGNATURE

vowel : I,A,U,E ⟶4

All should be together

concider all vowels to be one unit

Integral arrangement =4!

Rest five letter =5

Concider each letter as one unit

there are five units

Arrangements of these 6 units

⇒6!×4!

⇒120×6×24

⇒2880×6

⇒17280

Therefore number of words =17280