Quantitative Reasoning

Permutation & Combination

Easy

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

120

150

180

720

✅ Correct Option: 1

DAILY has 5 letters, all distinct, so the number of arrangements is $5! = 120$ .

2026: 12 May Shift 1

A team of 3 tennis players is to be finalized from a group of 2 male and 3 female. In how many ways this can be done and how many teams which consist of 1 male and 2 female?

2025: 20 May Shift 2

Match List-I with List-II

List-I	List-II
(Expressions)	(Values)
(A) 1/6! + 1/7! = x/8! Find x	(I) 1
(B) Evaluate: $\frac{n!}{(n-r)!}$ , n = 6, r = 2	(II) 100
(C) If ⁿC₉ = ⁿC₈, find ⁿC₁₇.	(III) 64
(D) ⁶P₃ - ⁵P₂	(IV) 30

Choose the correct answer from the options given below:

2023: 15 June Shift 2

How many 3 digit even numbers can be formed from the digits (0 - 9) if repetition of digits are allowed?

2025: 13 May Shift 1

Match List-I with List-II

List-I	List-II
(A) $^8P_3 - ^{10}C_3$	(I) 6
(B) $^8P_5$	(II) 21
(C) $^nP_4 = 360$ , then find n.	(III) 216
(D) $^nC_2 = 210$ , find n.	(IV) 6720

Choose the correct answer from the options given below:

2026: 25 May Shift 1

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

2025: 13 May Shift 2

The number of ways a committee consisting of 3 men and 1 women can be formed from 5 men and 3 women, is _________ .

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

Solution

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