Question

The number of ways of forming an arrangement of 4 letters from the letters of the word "IITJEE" is

• A. $66$
• B. $96$
• C. $102$
• D. $180$

Answer 1

Answer: (C)

$102$

arrangement of 4 letters from IITJEE

I-2

T-1

J-1

E-2

(case i) 4 different letters $=4!=24$

(case ii) 2 same + 2 same $=\frac{4!}{2!2!}=6$

(case iii) 2same + 2different $=2_{C_1}\times 3_{C_2}\times \frac{4!}{2!}$

$=6\times 12$

$=72$

total arrangement $=72+6+24$

$=72+30$

$=102$