Quantitative Reasoning

Permutation & Combination

Easy

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

120

✅ Correct Option: 2

APPLE has $5$ letters with the letter P repeating twice.

Number of arrangements $= \dfrac{5!}{2!} = \dfrac{120}{2} = 60$ .

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: 27 May Shift 2

How many ways, can the letters of the word 'QUANTITATIVE' be arranged, so that all T are together?

2026: 20 May Shift 2

How many 5-digit numbers can be formed by using digits 1, 2, 3, 4, 5 if 2 and 3 cannot come together?

2025: 30 May Shift 2

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

2026: 31 May Shift 2

In how many different ways can the letters of the word 'OPTICAL' be arranged in such a way that the vowels always come together?

2025: 16 May Shift 1

Match List-I with List-II

Choose the correct answer from the options given below:

Solution