Testbook Logo
Exams SuperCoaching Test Series Skill Academy
More
English
Hindi

Question

Download Solution PDF

Total number of six-digit numbers in which only and all the five digits 1, 3, 5, 7 and 9 appear, is

  1. 56
  2. (12)(6!)
  3. 6!
  4. (52)(6!)

Answer (Detailed Solution Below)

Option 4 : (52)(6!)

Detailed Solution

Download Solution PDF

Explanation -

Selecting all 5 digits = 5C5 = 1 way

Now, we need to select one more digit to make it a 6 digit number = 5C1 = 5 ways

Total number of permutations = 6!2!

Total numbers = 5C5 × 5C1 × (6!/2!)

= (5/2) 6!

Hence Option (4) is correct.

Download Solution PDF
‹‹ Previous Ques
Next Ques ››

More Permutations and Combinations Questions

Q1.What is the maximum number of possible points of intersection of four straight lines and a circle (intersection is between lines as well as circle and lines)? 
Q2.The letters of the word EQUATION are arranged in such a way that all vowels as well as consonants are together. How many such arrangements are there?
Q3.In how many ways can the letters of the word INDIA be permutated such that in each combination, vowels should occupy odd positions?
Q4.How many 4-digit numbers are there having all digits as odd? 
Q5.A scientific committee is to formed from 6 Indians and 8 foreigners, which includes at least 2 Indians and double the number of foreigners as Indians. Then the number of ways, the committee can be formed is:
Q6.Total number of six-digit numbers in which only and all the five digits 1, 3, 5, 7 and 9 appear, is
Q7.There are 5 points P1, P2, P3, P4, P5 on the side AB, excluding A and B, of a triangle ABC. Similarly there are 6 points P6, P7, …, P11 on the side BC and 7 points P12, P13, …, P18 on the side CA of the triangle. The number of triangles, that can be formed using the points P1, P2, …, P18 as vertices, is :
Q8.The number of integers greater than 2000 that can be formed with the digits 0, 1, 2, 3, 4, 5, using each digit at most once, is
Q9.If nPr = nPr + 1 and nCr = nCr - 1, then the values of n and r are respectively
Q10.If (2n)!3!(2n−3)! and n!2!(n−2)! are in the ratio 44 ∶ 3, then n is

More Mathematics Questions

Q1.If cosec θ + cot θ = p, then p2−1p2+1 equal:
Q2.In a binomial distribution, if the mean is 6 and the standard deviation is √2, then what are the values of the parameters n and p respectively?
Q3.Three perfect dice D1, D2 and D3 and are rolled. Let x, represent the numbers on D1, D2 and D3 respectively. What is the number of possible outcomes such that x < y < z?
Q4.Three perfect dice are rolled. Under the condition that no two show the same face, what is the probability that one of the faces shown is an ace (one)?
Q5.The occurrence of a disease in an industry is such that the workers have 20% chance of suffering from it. What is the probability that out of 6 workers chosen at random, 4 or more will suffer from the disease?
Q6.Two perfect dice are thrown. What C is the probability that the sum of the numbers on the faces is neither 9 nor 10?
Q7.Urn A contains 2 white and 2 black balls while urn B contains 3 white and 2 black balls. One ball is transferred from urn A to urn B and then a ball is drawn out of urn B. What is the probability that the ball is white?
Q8.A fair coin is tossed till two heads occur in succession. What is the probability that the number of tosses required is less than 6?  
Q9.The mean of the series x1, x2...xn is x̅ If xn is replaced by k, then what is the new mean?
Q10.Let Σi=19xi2=885 If M is the mean and σ is the standard deviation of  x1, x2, x3.....x9 then what is the value of M2 + σ2?
Exams
Test Series
SuperCoaching
Previous Year Papers
Latest Updates
MCQ Questions
Testbook Products & Resources for Students
Testbook USA
Books
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
support@testbook.com
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Our Apps
Follow us on
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Get Free Access Now
Hot Links： teen patti real cash withdrawal teen patti real cash 2024 teen patti online teen patti winner