Question

9. In how many ways can the word "ROYAL" be arranged such that vowels will always come together?
120 ways
24 ways
48 ways
56 ways​

Answer 1

Answer:

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(a)fall

(b)higher

(c)slipbbsnsnnsnz

Answer 2

Concept Introduction: Permutation and Combinations are very important concepts of Mathematics.

Given:

We have been Given: The word "ROYAL"

To Find:

We have to Find: In how many ways can the word "ROYAL" be arranged such that vowels will always come together?

Solution:

According to the Problem, The number of words in word "ROYAL" is

$5$

and the number of vowels is

$2$

therefore, the answer is

$5! \div 2! = \frac{1 \times 2 \times 3 \times 4 \times 5}{1 \times 2} \\ = \frac{120}{2} = 60 \: ways$

Final Answer: The word "ROYAL" be arranged such that vowels will always come together is

$60 \: ways$

#SPJ2