How many 4-letter words with or without meaning, can be formed out of the letter

Question

How many 4-letter words with or without meaning, can be formed out of the letters of the word, LOGARITHMS, if repetition of letters is not allowed?

Options:

A . 40

B . 400

C . 5040

D . 2520

Answer: Option C

'LOGARITHMS' contains 10 different letters.

Required number of words = Number of arrangements of 10 letters, taking 4 at a time.

= ¹⁰P₄

= (10 x 9 x 8 x 7)

= 5040.

Was this answer helpful ?

Next Question

More Questions on This Topic :

Question 1. In how many different ways can the letters of the word MATHEMATICS be arranged so that the vowels always come together?....MATHEMATICS be arranged so that the vowels always come together?

Question 2. In how many different ways can the letters of the word OPTICAL be arranged so that the vowels always come together?....

Question 3. Out of eight crew members three particular members can sit only on the left side. Another two particular members can sit....arranged so that four men can sit on each side.

Question 4. A man positioned at the origin of the coordinate system. the man can take steps of unit measure in the direction North, ....can reach the point (5,6), covering the shortest possible distance.

Question 5. There are 2 brothers among a group of 20 persons. In how many ways can the group be arranged around a circle so that the....that there is exactly one person between the two brothers?

Question 6. There are 6 equally spaced points A, B, C, D, E and F marked on a circle with radius R. How many convex pentagons of dis....different areas can be drawn using these points as vertices?

Question 7. A, b, c, d and e are five natural numbers. Find the number of ordered sets (a, b, c, d, e) possible such that a + b + c ....+ b + c + d + e = 64.

Question 8. There are five cards lying on the table in one row. Five numbers from among 1 to 100 have to be written on them, one num....many sequences can be written down on the 6th card?

Question 9. From a total of six men and four ladies a committee of three is to be formed. If Mrs. X is not willing to join the commi....Mrs Z is included, how many such committee are possible?

Question 10. Goldenrod and No Hope are in a horse race with 6 contestants. How many different arrangements of finishes are there if N....Goldenrod and if all of the horses finish the race?

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0