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Arrange the letters of the word 'BALLOON' so that all the vowels come together. How many such arrangements exist?

Competition practiceProbability & Permutation

A360
B180
C60
D1,260

Step-by-Step Solution

Block (A, O, O) + B, L, L,

N = 5

units:

\frac{5 !}{2 !} = 60

. Inside the block

\frac{3 !}{2 !} = 3

. Total

60 \times 3 = 180

.

Answer: B) 180

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