Eight different letters of an alphab...

Eight different letters of an alphabet are given . Words of four letters from these are formed the number of such words with at least one letter repeated is

A

`((8)/(4))-""^(8)P_(4)`

B

`8^(4)((8)/(4))`

C

`8^(4)-8P_(4)`

D

`8^(4)-((8)/(4))`

Text Solution

Verified by Experts

The correct Answer is:

C

Topper's Solved these Questions

PERMUTATIONS & COMBINATIONS
AAKASH SERIES|Exercise EXERCISE-II|229 Videos
PERMUTATIONS & COMBINATIONS
AAKASH SERIES|Exercise PRACTICE EXERCISE|163 Videos
PERMUTATIONS & COMBINATIONS
AAKASH SERIES|Exercise ADDITIONAL EXERCISE|50 Videos
PARTIAL FRACTIONS
AAKASH SERIES|Exercise PRACTICE EXERCISE|31 Videos
PROBABILITY
AAKASH SERIES|Exercise Practise Exercise|165 Videos

Similar Questions

Explore conceptually related problems

ten different letters of alphabet are given . Words with 5 letters are formed from these given letters than the number of words which have at least one letter repreated is

The number of 4 letter words that can be formed with the letters in the word EQUATION with at least one letter repeated is

Find the number of 4 letter words that can be formed using the letters of the word PISTON in which atleast one letter is repeated.

10 different letters of an alphabet are given. Find the number of 5 letter words that can be formed using 10 letters which have (i) no letter repeated (ii) atleast one letter repeated

The number of four letter words using the letters of the word MISTER in which atleast one letter is repeated is

Find the number of 4 letter words that can be formed using the letters of the word 'ARTICLE' in which atleast one letter is repeated.

9 Different letters of an alphabet are given. Find the number of 4 letter words that can be formed using these 9 letters which have (i) no letter is repeated (ii) atleast one letter is repeated.

Find the number of 4 letter words that can be formed using the letters of the word MIXTURE which do not contain the letter X

Find the number of 4 letter words that can be formed using the letters of the word MIXTURE which Contain the letter X

AAKASH SERIES-PERMUTATIONS & COMBINATIONS-EXERCISE-I

the number of 3 digited numbers that can be formed that can ...
Text Solution
|
The number of 4 letter words than can be formed using the lett...
Text Solution
|
Eight different letters of an alphabet are given . Words of f...
Text Solution
|
A letter lock consists of three rings each marked with 5 different let...
Text Solution
|
Find the the number of functions from a set A containing 5 elements in...
Text Solution
|
The number of injections from Set - A containing 5 elements to a Set -...
Text Solution
|
The number of onto functions that canbe defined from A = {a, b, c, d, ...
Text Solution
|
The number of into functions that can be defined from A={x, y, z, w, t...
Text Solution
|
The number of many one functions from A= {1, 2, 3} to B= {a, b, c, d} ...
Text Solution
|
The number of constant mappings from A={1, 2, 3, 4...., n} to B= {a, b...
Text Solution
|
The number of different arrangements that can be made out of "MISSISSI...
Text Solution
|
The number of ways in which 17 billiard balls be arranged in a row if ...
Text Solution
|
Number of words that can be formed with letters of the word CORRESPOND...
Text Solution
|
The number of ways to rearrange the letters of the word CHEESE i...
Text Solution
|
The number of ways can 8 students sit round the table are
Text Solution
|
The number of ways that 8 beads of different colours be strung as a ne...
Text Solution
|
The number of ways can 11 persons sit around a table so that all shall...
Text Solution
|
The number of ways in which 5 different coloured flowers be strung in ...
Text Solution
|
The number of circular permutations of 8 things taken 4 at a time in b...
Text Solution
|
Number of necklaces of 8 beads each can be made from 15 beads of vario...
Text Solution
|