हिंदी

How Many Four-digit Numbers Can Be Formed with the Digits 3, 5, 7, 8, 9 Which Are Greater than 8000, If Repetition of Digits is Not Allowed?

Advertisements
Advertisements

प्रश्न

Since the  number has to be greater than 8000, the thousand's place can be filled by only two digits, i.e. 8 and 9.
Now, the hundred's place can be filled with the remaining 4 digits as the repetition of the digits is not allowed.
The ten's place can be filled with the remaining 3 digits.
The unit's place can be filled with the remaining 2 digits.
Total numbers that can be formed = `2xx4xx3xx2=48`

Advertisements
This question doesn't have a solution currently. Please check again in a few days.
  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 21 | पृष्ठ १५

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Determine n if  `""^(2n)C_3 : ""^nC_3 = 12 : 1`


How many chords can be drawn through 21 points on a circle?


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


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?


Compute: 

(i)\[\frac{30!}{28!}\]


There are 5 books on Mathematics and 6 books on Physics in a book shop. In how many ways can a students buy : (i) a Mathematics book and a Physics book (ii) either a Mathematics book or a Physics book?


Twelve students complete in a race. In how many ways first three prizes be given?


How many four-digit numbers can be formed with the digits 3, 5, 7, 8, 9 which are greater than 7000, if repetition of digits is not allowed?


How many 9-digit numbers of different digits can be formed?


How many odd numbers less than 1000 can be formed by using the digits 0, 3, 5, 7 when repetition of digits is not allowed?


How many 3-digit numbers are there, with distinct digits, with each digit odd?


From a group of 15 cricket players, a team of 11 players is to be chosen. In how many ways can this be done?


How many different boat parties of 8, consisting of 5 boys and 3 girls, can be made from 25 boys and 10 girls?


In how many ways can a student choose 5 courses out of 9 courses if 2 courses are compulsory for every student?


How many different selections of 4 books can be made from 10 different books, if two particular books are never selected?


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(iii) at least 3 girls? 


A committee of 3 persons is to be constituted from a group of 2 men and 3 women. In how many ways can this be done? How many of these committees would consist of 1 man and 2 women?


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?


We wish to select 6 persons from 8, but if the person A is chosen, then B must be chosen. In how many ways can the selection be made?


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?


Find the number of combinations and permutations of 4 letters taken from the word 'EXAMINATION'.


If 20Cr + 1 = 20Cr − 1 , then r is equal to


There are 13 players of cricket, out of which 4 are bowlers. In how many ways a team of eleven be selected from them so as to include at least two bowlers?


The number of diagonals that can be drawn by joining the vertices of an octagon is


The value of\[\left( \ ^{7}{}{C}_0 + \ ^{7}{}{C}_1 \right) + \left( \ ^{7}{}{C}_1 + \ ^{7}{}{C}_2 \right) + . . . + \left( \ ^{7}{}{C}_6 + \ ^{7}{}{C}_7 \right)\] is


If n + 1C3 = 2 · nC2 , then n =


The value of `(""^9"C"_0 + ""^9"C"_1) + (""^9"C"_1 + ""^9"C"_2) + ... + (""^9"C"_8 + ""^9"C"_9)` is ______ 


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


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.


A box contains two white, three black and four red balls. In how many ways can three balls be drawn from the box, if atleast one black ball is to be included in the draw


If nCr – 1 = 36, nCr = 84 and nCr + 1 = 126, then find rC2.


A bag contains six white marbles and five red marbles. Find the number of ways in which four marbles can be drawn from the bag if they can be of any colour


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 no girls


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


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


Everybody in a room shakes hands with everybody else. The total number of handshakes is 66. The total number of persons in the room is ______.


If number of arrangements of letters of the word "DHARAMSHALA" taken all at a time so that no two alike letters appear together is (4a.5b.6c.7d), (where a, b, c, d ∈ N), then a + b + c + d is equal to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×