Question

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?