English

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

Question

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

Solution

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
  Is there an error in this question or solution?
Chapter 16: Permutations - Exercise 16.2 [Page 16]

APPEARS IN

R.D. Sharma Mathematics [English] Class 11
Chapter 16 Permutations
Exercise 16.2 | Q 35 | Page 16

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Is 3! + 4! = 7!?


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?


Find n if n – 1P3 : nP4 = 1 : 9


Find r if `""^5P_r = 2^6 P_(r-1)`


Find x in each of the following:

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

In how many ways can three jobs I, II and III be assigned to three persons AB and C if one person is assigned only one job and all are capable of doing each job?


Find the number of ways in which 8 distinct toys can be distributed among 5 childrens.


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


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


Write the number of ways in which 6 men and 5 women can dine at a round table if no two women sit together ?


The number of permutations of n different things taking r at a time when 3 particular things are to be included is


The number of words from the letters of the word 'BHARAT' in which B and H will never come together, is


The number of six letter words that can be formed using the letters of the word "ASSIST" in which S's alternate with other letters 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


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 number of ways in which 6 men can be arranged in a row so that three particular men are consecutive, is


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?


Evaluate `("n"!)/("r"!("n" - "r")!)` when n = 5 and r = 2.


If nP4 = 12(nP2), find n.


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


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


If `""^(("n"  – 1))"P"_3 : ""^"n""P"_4` = 1 : 10 find n


Suppose 8 people enter an event in a swimming meet. In how many ways could the gold, silver and bronze prizes be awarded?


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?


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

How will the answer change if each question may have more than one correct answers?


8 women and 6 men are standing in a line. In how many arrangements will all 6 men be standing next to one another?


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


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 GARDEN are permuted in all possible ways and the strings thus formed are arranged in the dictionary order, then find the ranks of the words
DANGER


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


Choose the correct alternative:
The product of r consecutive positive integers is divisible b


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


The number of permutations of n different objects, taken r at a line, when repetitions are allowed, is ______.


Five boys and five girls form a line. Find the number of ways of making the seating arrangement under the following condition:

C1 C2
(a) Boys and girls alternate: (i) 5! × 6!
(b) No two girls sit together : (ii) 10! – 5! 6!
(c) All the girls sit together (iii) (5!)2 + (5!)2
(d) All the girls are never together : (iv) 2! 5! 5!

Number of words from the letters of the words BHARAT in which B and H will never come together is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×