Quantitative Reasoning

Permutation & Combination

Easy

There are 6 candidates for 3 posts. In how many ways can the posts be filled?

100

110

120

✅ Correct Option: 3

The three posts are distinct, so order matters and we use permutations.

Number of ways $= {}^6P_3 = 6 \times 5 \times 4 = 120$ .

2026: 25 May Shift 1

In how many ways in cricket, eleven players be chosen out of 14 players?

2026: 25 May Shift 2

The number of ways in which word "APPLE" can be arranged, is:

2025: 21 May Shift 1

In how many ways are the letters of the word DOCUMENT arranged so that all the vowels always come together?

2025: 15 May Shift 1

Five digit numbers formed by using digits 0, 1, 2, 3 and 4 (when repitition of digits are not allowed) are:

2026: 30 May Shift 2

Match List-I with List-II

List-I	List-II
(A) $^5P_4 - {^5P_2}$	(I) 120
(B) $^{15}C_{11} - {^{10}C_4}$	(II) 2520
(C) In how many ways, the letters of the word 'STRESS' be arranged?	(III) 100
(D) In how many ways, the letters of the word 'BANKING' be arranged?	(IV) 1155

Choose the correct answer from the options given below:

2025: 15 May Shift 1

In how many ways can 15 people be seated around two round tables with seating capacities of 7 and 8 people?

Solution