The number of arrangements of the letters of the word BANANA in which the two N's do not appear adjacently, is

Question

The number of arrangements of the letters of the word BANANA in which the two N's do not appear adjacently, is (A) 40 (B) 60 (C) 80 (D) 100

Tardigrade Admin · Accepted Answer

Total number of arrangements of word BANANA =(6!/3!2!)=60 The number of arrangements of words BANANA in which two N's appear adjacently =(5!/3!)=20 Required number of arrangements = 60 - 20 = 40

Q. The number of arrangements of the letters of the word BANANA in which the two N's do not appear adjacently, is

40

60

80

100

Total number of arrangements of word BANANA
$= \frac{6 !}{3 ! 2 !} = 60$
The number of arrangements of words BANANA in which two N's appear adjacently $= \frac{5 !}{3 !} = 20$
Required number of arrangements $= 60 - 20 = 40$

Q. The number of arrangements of the letters of the word BANANA in which the two N's do not appear adjacently, is

40

60

80

100

Total number of arrangements of word BANANA =3!2!6!​=60 The number of arrangements of words BANANA in which two N's appear adjacently =3!5!​=20 Required number of arrangements =60−20=40

Total number of arrangements of word BANANA
$= \frac{6 !}{3 ! 2 !} = 60$
The number of arrangements of words BANANA in which two N's appear adjacently $= \frac{5 !}{3 !} = 20$
Required number of arrangements $= 60 - 20 = 40$