Question

In how many ways can the letters of the word ‘DELHI’ be arranged so that the vowels occupy only even places?

 

Solution

Correct option is

12

All the letters in the word ‘DELHI’ are distinct with 2 vowels (E, I) and 3 consonants (D, L, H). 

In five letter words, even place can occupy ‘E’ and ‘I’ in 2! Ways and remaining 3 places can occupy consonants D, L, H in 3! Ways.

So no. of words = (3!) × (2!) = 12.

SIMILAR QUESTIONS

Q1

Ten persons, amongst whom are A, B and C, are to speak at a function. If n is the number of ways in which it can be done if A wants to speak before B, and B wants to speak before C find n/800.

Q2

Find the largest  such that 

      

Q3

Find the largest integer n for which 35! Is divisible by 3n.

Q4

The number of natural numbers which are smaller than 2 × 108 and which can be written by means of the digits and 2 is ………..

Q5

Find the exponent of 2 in 50!?

Q6

Find the number of zeroes in 100!

Q7

A city has 12 gates. In how many ways can a person enter the city through one gate and come out through a different gate?

Q8

Find the number of different words which can be formed using all the letters of the word ‘HISTORY’.

Q9

In how many ways 5 different red balls, 3 different black balls and 2 different white balls can be arranged along a row?