हिंदी

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

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

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

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Find the number of ways of selecting 9 balls from 6 red balls, 5 white balls and 5 blue balls if each selection consists of 3 balls of each colour.


In how many ways can a student choose a programme of 5 courses if 9 courses are available and 2 specific courses are compulsory for every student?


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


A team consists of 6 boys and 4 girls and other has 5 boys and 3 girls. How many single matches can be arranged between the two teams when a boy plays against a boy and a girl plays against a girl?


From among the 36 teachers in a college, one principal, one vice-principal and the teacher-incharge are to be appointed. In how many ways can this be done?


A number lock on a suitcase has 3 wheels each labelled with ten digits 0 to 9. If opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible? Also, find the number of unsuccessful attempts to open the lock.


If n +2C8 : n − 2P4 = 57 : 16, find n.


In how many ways can a football team of 11 players be selected from 16 players? How many of these will

include 2 particular players?


In how many ways can a football team of 11 players be selected from 16 players? How many of these will

 exclude 2 particular players?


How many different products can be obtained by multiplying two or more of the numbers 3, 5, 7, 11 (without repetition)?


How many different selections of 4 books can be made from 10 different books, if
two particular books are always selected;


From 4 officers and 8 jawans in how many ways can 6 be chosen. to include at least one officer?


How many triangles can be obtained by joining 12 points, five of which are collinear?


In how many ways can a committee of 5 persons be formed out of 6 men and 4 women when at least one woman has to be necessarily selected?


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


Find the number of (ii) triangles


In how many ways can a team of 3 boys and 3 girls be selected from 5 boys and 4 girls?


Find the number of ways of selecting 9 balls from 6 red balls, 5 white balls and 5 blue balls if each selection consists of 3 balls of each colour.


In how many ways can one select a cricket team of eleven from 17 players in which only 5 persons can bowl if each cricket team of 11 must include exactly 4 bowlers?


In how many ways can a student choose a programme of 5 courses if 9 courses are available and 2 specific courses are compulsory for every student?


A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of: atmost 3 girls?


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?


If nC12 = nC8 , then n =


If nCr + nCr + 1 = n + 1Cx , then x =


There are 12 points in a plane. The number of the straight lines joining any two of them when 3 of them are collinear, is


In how many ways can the letters of the word 'IMAGE' be arranged so that the vowels should always occupy odd places?


A boy has 3 library tickets and 8 books of his interest in the library. Of these 8, he does not want to borrow Mathematics Part II, unless Mathematics Part I is also borrowed. In how many ways can he choose the three books to be borrowed?


In how many ways a committee consisting of 3 men and 2 women, can be chosen from 7 men and 5 women?


How many committee of five persons with a chairperson can be selected from 12 persons.


In an examination, a student has to answer 4 questions out of 5 questions; questions 1 and 2 are however compulsory. Determine the number of ways in which the student can make the choice.


In how many ways can a football team of 11 players be selected from 16 players? How many of them will exclude 2 particular players?


A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has at least one boy and one girl


Given 5 different green dyes, four different blue dyes and three different red dyes, the number of combinations of dyes which can be chosen taking at least one green and one blue dye is ______.


Eighteen guests are to be seated, half on each side of a long table. Four particular guests desire to sit on one particular side and three others on other side of the table. The number of ways in which the seating arrangements can be made is `(11!)/(5!6!) (9!)(9!)`.


There are 10 professors and 20 lecturers out of whom a committee of 2 professors and 3 lecturer is to be formed. Find:

C1 C2
(a) In how many ways committee: can be formed (i) 10C2 × 19C3 
(b) In how many ways a particular: professor is included (ii) 10C2 × 19C2
(c) In how many ways a particular: lecturer is included (iii) 9C1 × 20C3
(d) In how many ways a particular: lecturer is excluded (iv) 10C2 × 20C3

A scientific committee is to be 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 ______.


The number of numbers between 2,000 and 5,000 that can be formed with the digits 0, 1, 2, 3, 4, (repetition of digits is not allowed) and are multiple of 3 is?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×