हिंदी

The Number of Ways to Arrange the Letters of the Word Cheese Are,120,,240,720,6 - Mathematics

Advertisements
Advertisements

प्रश्न

The number of ways to arrange the letters of the word CHEESE are

विकल्प

  • 120

  • 240

  • 720

  • 6

MCQ

उत्तर

120
Total number of arrangements of the letters of the word CHEESE = Number of arrangements of 6 things taken all at a time, of which 3 are of one kind =\[\frac{6!}{3!}\]= 120

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 16: Permutations - Exercise 16.7 [पृष्ठ ४६]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.7 | Q 10 | पृष्ठ ४६

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated?


How many words, with or without meaning can be made from the letters of the word MONDAY, assuming that no letter is repeated, if

(i) 4 letters are used at a time,

(ii) all letters are used at a time,

(iii) all letters are used but first letter is a vowel?


In how many ways can the letters of the word PERMUTATIONS be arranged if the words start with P and end with S.


Find x in each of the following:

\[\frac{x}{10!} = \frac{1}{8!} + \frac{1}{9!}\]

A customer forgets a four-digits code for an Automatic Teller Machine (ATM) in a bank. However, he remembers that this code consists of digits 3, 5, 6 and 9. Find the largest possible number of trials necessary to obtain the correct code.


How many numbers of four digits can be formed with the digits 1, 2, 3, 4, 5 if the digits can be repeated in the same number?


How many three digit numbers can be formed by using the digits 0, 1, 3, 5, 7 while each digit may be repeated any number of times?


Three dice are rolled. Find the number of possible outcomes in which at least one die shows 5 ?


In how many ways can 5 different balls be distributed among three boxes?


In how many ways can 7 letters be posted in 4 letter boxes?


In how many ways 4 women draw water from 4 taps, if no tap remains unused?


Write the number of ways in which 7 men and 7 women can sit on a round table such that no two women sit together ?


Write the number of words that can be formed out of the letters of the word 'COMMITTEE' ?


Write the number of all possible words that can be formed using the letters of the word 'MATHEMATICS'.


Write the number of numbers that can be formed using all for digits 1, 2, 3, 4 ?


The number of words that can be formed out of the letters of the word "ARTICLE" so that vowels occupy even places is


Number of all four digit numbers having different digits formed of the digits 1, 2, 3, 4 and 5 and divisible by 4 is


If the letters of the word KRISNA are arranged in all possible ways and these words are written out as in a dictionary, then the rank of the word KRISNA is


A 5-digit number divisible by 3 is to be formed using the digits 0, 1, 2, 3, 4 and 5 without repetition. The total number of ways in which this can be done is


If k + 5Pk + 1 =\[\frac{11 (k - 1)}{2}\]. k + 3Pk , then the values of k are


In a room there are 12 bulbs of the same wattage, each having a separate switch. The number of ways to light the room with different amounts of illumination is


The number of ways to arrange the letters of the word “CHEESE”:


Three men have 4 coats, 5 waist coats and 6 caps. In how many ways can they wear them?


A test consists of 10 multiple choice questions. In how many ways can the test be answered if the first four questions have three choices and the remaining have five choices?


8 women and 6 men are standing in a line. How many arrangements are possible if any individual can stand in any position?


8 women and 6 men are standing in a line. In how many arrangements will no two men be standing next to one another?


A coin is tossed 8 times, how many different sequences of heads and tails are possible?


How many strings are there using the letters of the word INTERMEDIATE, if vowels are never together


Each of the digits 1, 1, 2, 3, 3 and 4 is written on a separate card. The six cards are then laid out in a row to form a 6-digit number. How many of these 6-digit numbers are even?


Each of the digits 1, 1, 2, 3, 3 and 4 is written on a separate card. The six cards are then laid out in a row to form a 6-digit number. How many of these 6-digit numbers are divisible by 4?


If the letters of the word FUNNY are permuted in all possible ways and the strings thus formed are arranged in the dictionary order, find the rank of the word FUNNY


Find the number of permutations of n distinct things taken r together, in which 3 particular things must occur together.


The number of different words that can be formed from the letters of the word INTERMEDIATE such that two vowels never come together is ______.


How many words (with or without dictionary meaning) can be made from the letters of the word MONDAY, assuming that no letter is repeated, if

C1 C2
(a) 4 letters are used at a time (i) 720
(b) All letters are used at a time (ii) 240
(c) All letters are used but the first is a vowel (iii) 360

Let b1, b2, b3, b4 be a 4-element permutation with bi ∈ {1, 2, 3, .......,100} for 1 ≤ i ≤ 4 and bi ≠ bj for i ≠ j, such that either b1, b2, b3 are consecutive integers or b2, b3, b4 are consecutive integers. Then the number of such permutations b1, b2, b3, b4 is equal to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×