First slide

Combinations

Question

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

Moderate

A

40
B

60
C

80
D

100

Solution

Required number of ways
= Total number of ways – Number of ways when two N’s are together
$= \frac{6!}{31.2!} - \frac{5!}{3!} = 40$

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