Question

how many ways can the letter in the word RADAR be arranged?

Answer 1

Answer:

5

Step-by-step explanation:

(2 * 2)

5 = (1 * 2 * 3 * 4 * 5) = 120

2 = (1 * 2) = 2

120

--------  = 30

(2 * 2)

Answer 2

Letter in the word RADAR can be arranged in 30 ways.

What is permutation?

" Permutation is defined as the all possible arrangements of the given objects in a definite order."

According to the question,

Given word,

RADAR

Total number of letters = 5

Letter 'R' and 'A'  repeat two times each

Therefore,

Possible number of arrangements = $\frac{5!}{2!2!}$

                                                         = $\frac{(5) (4) (3) (2)(1)}{(2)(1)(2)(1)}$

                                                         = 30 ways

Hence, letters in the word RADAR can be arranged in 30 ways.

Learn more about permutation here

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