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The number of arrangements of the letter...

The number of arrangements of the letters of the word BANANA in which the two Ns do not appear adjacently is a.`40` b. `60` c. `80` d. `100`

A

40

B

60

C

80

D

100

Text Solution

Verified by Experts

The correct Answer is:
A
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
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