हिंदी

If Three Six Faced Die Each Marked with Numbers 1 to 6 on Six Faces, Are Thrown Find the Total Number of Possible Outcomes ?

Advertisements
Advertisements

प्रश्न

If three six faced die each marked with numbers 1 to 6 on six faces, are thrown find the total number of possible outcomes ?

Advertisements

उत्तर

Number of possible outcomes on one dice = 6   {1,2,3,4,5,6}
Number of possible outcomes on both the other two dice = 6
∴ Total number of outcomes when three dice are thrown = `6xx6xx6=216`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 16: Permutations - Exercise 16.2 [पृष्ठ १६]

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.2 | Q 35 | पृष्ठ १६

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

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


How many 3-digit even numbers can be made using the digits 1, 2, 3, 4, 6, 7, if no digit is repeated?


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 ways can the letters of the word ASSASSINATION be arranged so that all the S’s are together?


Find x in each of the following:

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

Find x in each of the following:

\[\frac{1}{6!} + \frac{1}{7!} = \frac{x}{8!}\]

Find the total number of ways in which 20 balls can be put into 5 boxes so that first box contains just one ball ?


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


Evaluate each of the following:

6P


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.


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' ?


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


The number of arrangements of the word "DELHI" in which E precedes I is


The product of r consecutive positive integers is divisible by


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


How many six-digit telephone numbers can be formed if the first two digits are 45 and no digit can appear more than once?


If (n+2)! = 60[(n–1)!], find n


Find the rank of the word ‘CHAT’ in the dictionary.


Evaluate the following.

`(3! xx 0! + 0!)/(2!)`


If n is a positive integer, then the number of terms in the expansion of (x + a)n is:


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


Determine the number of permutations of the letters of the word SIMPLE if all are taken at a time?


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?


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?


How many strings are there using the letters of the word INTERMEDIATE, if all the vowels are 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 divisible by 4?


Find the sum of all 4-digit numbers that can be formed using digits 0, 2, 5, 7, 8 without repetition?


The number of words which can be formed out of the letters of the word ARTICLE, so that vowels occupy the even place is ______.


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


Using the digits 1, 2, 3, 4, 5, 6, 7, a number of 4 different digits is formed. Find

C1 C2
(a) How many numbers are formed? (i) 840
(b) How many number are exactly divisible by 2? (i) 200
(c) How many numbers are exactly divisible by 25? (iii) 360
(d) How many of these are exactly divisible by 4? (iv) 40

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

The number of three-digit even numbers, formed by the digits 0, 1, 3, 4, 6, 7 if the repetition of digits is not allowed, 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×