Quantitative Reasoning

Permutation & Combination

Medium

In how many different ways can the letter of the word "DIGEST" be arranged so that the vowels are at the two ends?

✅ Correct Option: 4

DIGEST has 6 letters with 2 vowels (I, E) and 4 consonants (D, G, S, T).

The 2 vowels can be placed at the two end positions in $2! = 2$ ways. The remaining 4 consonants fill the 4 middle positions in $4! = 24$ ways.

Total arrangements $= 2 \times 24 = 48$ .

2025: 20 May Shift 2

Match List-I with List-II

Choose the correct answer from the options given below:

2026: 25 May Shift 1

In how many different ways can the letters of the word ' Bakery ' be arranged ?

2025: 3 June Shift 2

In how many different ways can the letters of the word 'RUMOUR' be arranged?

2025: 19 May Shift 1

Match List-I with List-II

List-I	List-II
(A) The number of different words that can be formed with CUSTOM with the condition that the word should begin with M is ______.	(I) 70
(B) The number of different ways in which the letters of the word EXTRA can be arranged so that the vowels are never together is ______.	(II) 45
(C) There are 10 points in a plane. No three of these points are in a straight line. The total number of straight line that can be formed by joining the two points is _______.	(III) 72
(D) The number of ways a committee of 4 people be chosen out of 8 people is _______.	(IV) 120

Choose the correct answer from the options given below:

2026: 22 May Shift 2

In how many different ways can the letters of the word PRESENT be arranged?

2026: 29 May Shift 2

In how many ways can the letters of the word 'MOMENT' be arranged?

Solution