Question

If words are formed by taking the letters of the word PHYSICAL 4 at a time, then the number of words in which Y occur is

• A. ${}^8{P}_4$
• B. $\frac{7!}{3!}$
• C. $\frac{7!}{4!}$
• D. ${}^7{P}_4$

Answer 1

Answer: (B)

$\frac{7!}{3!}$

PHYSICAL : Y can be arranged in $4$ ways and remaining $3$ letters from $7$ letters are arranged in ${}^7{P}_3$ ways
Hence required number of ways is $=4.{}^7{P}_3=\frac{7!}{3!}$