Quantitative Reasoning

Permutation & Combination

Easy

How many words with or without meaning can be formed by using all the letters of the word 'NCFSE' using each letter exactly once?

120

✅ Correct Option: 2

NCFSE has 5 letters, all distinct, and each must be used exactly once. The number of arrangements is $5! = 120$ .

2026: 31 May Shift 1

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

2026: 18 May Shift 1

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

2026: 29 May Shift 1

In how many different ways can the word VICTORY be written ?

2026: 29 May Shift 2

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

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: 22 May Shift 2

Out of 6 men and 4 women, a committee of 5 members is to be formed so that it has 2 women and 3 men. In how many different ways can it be done:

Solution