JEE PYQ: Permutation And Combination Question 23
Question 23 - 2020 (06 Sep Shift 2)
The number of words (with or without meaning) that can be formed from all the letters of the word “LETTER” in which vowels never come together is ______.
Show Answer
Answer: 120
Solution
LETTER: L, E, T, T, E, R. Consonants L, T, T, R: arrange in $\frac{4!}{2!} = 12$ ways. Place 2 E’s in 5 gaps: ${}^5C_2 = 10$. Total $= 12 \times 10 = 120$.