Question 137

In how many different ways can the letters of the word TRUST’ be arranged?

Solution

Word = 'TRUST'

There are 5 letters and 'T' is repeated.

If there are 'n' letters and 'r' are repeating, then number of ways of arranging them = $$\frac{n !}{r !}$$

$$\therefore$$ Number of ways in which letters of the word 'TRUST' can be arranged

= $$\frac{5 !}{2 !} = \frac{5 \times 4 \times 3 \times 2 \times 1}{2 \times 1}$$

= $$5 \times 4 \times 3 = 60$$

=> Ans - (E)

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