हिंदी

Serial Numbers for an Item Produced in a Factory Are to Be Made Using Two Letters Followed by Four Digits (0 to 9). - Mathematics

Advertisements
Advertisements

प्रश्न

Serial numbers for an item produced in a factory are to be made using two letters followed by four digits (0 to 9). If the letters are to be taken from six letters of English alphabet without repetition and the digits are also not repeated in a serial number, how many serial numbers are possible?

Advertisements

उत्तर

Number of ways of selecting the first letter = 6
Number of ways of selecting the second letter = 5
(as repetition of letters is not allowed)
Number of ways of selecting the digit in the third place = 10
Number of ways of selecting the digit in the fourth place = 9        
(as repetition of digits is not allowed)
Number of ways of selecting the digit in the fifth place = 8
Number of ways of selecting the digit in the sixth place = 7
Possible serial numbers=`6xx5xx10xx9xx8xx7=151200`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 16: Permutations - Exercise 16.2 [पृष्ठ १५]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.2 | Q 29 | पृष्ठ १५

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Determine n if  `""^(2n)C_3 : ""^nC_3 = 11: 1`


Determine the number of 5 card combinations out of a deck of 52 cards if there is exactly one ace in each combination.


How many 6-digit numbers can be formed from the digits 0, 1, 3, 5, 7 and 9 which are divisible by 10 and no digit is repeated?


In an examination, a question paper consists of 12 questions divided into two parts i.e., Part I and Part II, containing 5 and 7 questions, respectively. A student is required to attempt 8 questions in all, selecting at least 3 from each part. In how many ways can a student select the questions?


It is required to seat 5 men and 4 women in a row so that the women occupy the even places. How many such arrangements are possible?


From a class of 25 students, 10 are to be chosen for an excursion party. There are 3 students who decide that either all of them will join or none of them will join. In how many ways can the excursion party be chosen?


Compute:

\[\frac{11! - 10!}{9!}\]

Prove that

\[\frac{1}{9!} + \frac{1}{10!} + \frac{1}{11!} = \frac{122}{11!}\]

A coin is tossed five times and outcomes are recorded. How many possible outcomes are there?


How many three-digit numbers are there with no digit repeated?


If nC4 = nC6, find 12Cn.


If 15C3r = 15Cr + 3, find r.


If 8Cr − 7C3 = 7C2, find r.


If 28C2r : 24C2r − 4 = 225 : 11, find r.


If nC4 , nC5 and nC6 are in A.P., then find n.


If 16Cr = 16Cr + 2, find rC4.


If α = mC2, then find the value of αC2.


How many different selections of 4 books can be made from 10 different books, if
there is no restriction;


There are 10 points in a plane of which 4 are collinear. How many different straight lines can be drawn by joining these points.


Find the number of diagonals of , 1.a hexagon


Find the number of (ii) triangles


Determine the number of 5 cards combinations out of a deck of 52 cards if at least one of the 5 cards has to be a king?


A business man hosts a dinner to 21 guests. He is having 2 round tables which can accommodate 15 and 6 persons each. In how many ways can he arrange the guests?


If mC1 nC2 , then


The number of ways in which a host lady can invite for a party of 8 out of 12 people of whom two do not want to attend the party together is


A lady gives a dinner party for six guests. The number of ways in which they may be selected from among ten friends if two of the friends will not attend the party together is


The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is


Find the number of ways of dividing 20 objects in three groups of sizes 8, 7, and 5.


In a small village, there are 87 families, of which 52 families have atmost 2 children. In a rural development programme 20 families are to be chosen for assistance, of which atleast 18 families must have at most 2 children. In how many ways can the choice be made?


A bag contains 5 black and 6 red balls. Determine the number of ways in which 2 black and 3 red balls can be selected from the lot.


If nC12 = nC8, then n is equal to ______.


Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to ______.


All possible numbers are formed using the digits 1, 1, 2, 2, 2, 2, 3, 4, 4 taken all at a time. The number of such numbers in which the odd digits occupy even places is ______.


Number of selections of at least one letter from the letters of MATHEMATICS, is ______.


There are 12 persons seated in a line. Number of ways in which 3 persons can be selected such that atleast two of them are consecutive, is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×