Permutation And Combination Ques 15

Question-

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

(1) 2630

(2) 5040

(3) 1680

(4) 2580

(5) None of these

(IBPS RRBs Office Assistant CWE Exam. 09.09.2012)

Show Answer

Correct Answer: 5

Solution: (5)

The word REPLACE consists of 7 letters in which ‘$E$’ appears twice.

$\therefore$ Number of arrangements $=\frac{7 !}{2 !}$ $=7 \times 6 \times 5 \times 4 \times 3 \times 2=5040$