Question

Number of ways in which the letters of word 'MEDICAL' be arranged if A and E are together but all the vowels never come together, is

• A. $240$
• B. $720$
• C. $960$
• D. $1240$

Answer 1

Answer: (B)

$720$

Total ways in which $MEDICAL$ letters can be arranged if $AE$ are taken as $1$ unit is $6!\times 2!\to$ for permutation of $AE.$

Now, out of this words in which $AEI$ comes together are $5!\times 3!=720$

Total ways $1440-720=720.$

Hence, the answer is $720.$