Permutation And Combination Ques 6

Question-

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

(1) 820

(2) 840

(3) 860

(4) 320

(5) 720

(IBPS Bank PO/MT (Pre.) Exam, 23.10.2016)

Show Answer

Correct Answer: (2)

Solution: (2)

The word HARYANA has 7 letters out of which A comes thrice.

$\therefore$ Number of arrangements $=\frac{7 !}{3 !}=7 \times 6 \times 5 \times 4 \times \frac{3 !}{3 !}$ $=7 \times 6 \times 5 \times 4=840$