English

Write the Total Number of Possible Outcomes in a Throw of 3 Dice in Which at Least One of the Dice Shows an Even Number.

Advertisements
Advertisements

Question

Write the total number of possible outcomes in a throw of 3 dice in which at least one of the dice shows an even number.

Advertisements

Solution

Total number of outcomes when 3 dice are thrown = `6xx6xx6=216`

Number of outcomes in which there is an odd number on all the three dice =`3xx3xx3=27`

∴ Number of outcomes in which there is an even number at least on one dice = {Total possible outcomes}-  {Number of outcomes in which there is an odd number on all the three dice } =`216xx27=189`

shaalaa.com
  Is there an error in this question or solution?
Chapter 16: Permutations - Exercise 16.6 [Page 45]

APPEARS IN

R.D. Sharma Mathematics [English] Class 11
Chapter 16 Permutations
Exercise 16.6 | Q 4 | Page 45

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Evaluate 8!


if `1/(6!) + 1/(7!) = x/(8!)`, find x


From a committee of 8 persons, in how many ways can we choose a chairman and a vice chairman assuming one person cannot hold more than one position?


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 of the distinct permutations of the letters in MISSISSIPPI do the four I’s not come together?


Find x in each of the following:

\[\frac{1}{4!} + \frac{1}{5!} = \frac{x}{6!}\]

Which of the following are true:

(2 +3)! = 2! + 3!


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 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?


How many 5-digit telephone numbers can be constructed using the digits 0 to 9. If each number starts with 67 and no digit appears more than once?


Find the number of ways in which one can post 5 letters in 7 letter boxes ?


In how many ways can 4 letters be posted in 5 letter boxes?


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 ?


How many numbers greater than 10 lacs be formed from 2, 3, 0, 3, 4, 2, 3 ?


The number of different signals which can be given from 6 flags of different colours taking one or more at a time, is


If in a group of n distinct objects, the number of arrangements of 4 objects is 12 times the number of arrangements of 2 objects, then the number of objects is


The product of r consecutive positive integers is divisible by


The number of words that can be made by re-arranging the letters of the word APURBA so that vowels and consonants are alternate is


The number of ways in which the letters of the word ARTICLE can be arranged so that even places are always occupied by consonants is


How many numbers lesser than 1000 can be formed using the digits 5, 6, 7, 8, and 9 if no digit is repeated?


In how many ways 5 boys and 3 girls can be seated in a row, so that no two girls are together?


Find the number of arrangements that can be made out of the letters of the word “ASSASSINATION”.


The total number of 9 digit number which has all different digit is:


The number of words with or without meaning that can be formed using letters of the word “EQUATION”, with no repetition of letters is:


The number of permutation of n different things taken r at a time, when the repetition is allowed is ______.


A test consists of 10 multiple choice questions. In how many ways can the test be answered if question number n has n + 1 choices?


A student appears in an objective test which contain 5 multiple choice questions. Each question has four choices out of which one correct answer.

What is the maximum number of different answers can the students give?


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


How many ways can the product a2 b3 c4 be expressed without exponents?


Find the number of strings that can be made using all letters of the word THING. If these words are written as in a dictionary, what will be the 85th string?


The number of arrangements of the letters of the word BANANA in which two N's do not appear adjacently is ______.


In how many ways can 5 children be arranged in a line such that two particular children of them are always together 


If all permutations of the letters of the word AGAIN are arranged in the order as in a dictionary. What is the 49th word?


The number of signals that can be sent by 6 flags of different colours taking one or more at a time is ______.


There are 10 persons named P1, P2, P3, ... P10. Out of 10 persons, 5 persons are to be arranged in a line such that in each arrangement P1 must occur whereas P4 and P5 do not occur. Find the number of such possible arrangements.


A five-digit number divisible by 3 is to be formed using the numbers 0, 1, 2, 3, 4 and 5 without repetitions. The total number of ways this can be done is ______.


The number of permutations by taking all letters and keeping the vowels of the word ‘COMBINE’ in the odd places is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×