हिंदी

There Are Four Parcels and Five Post-offices. in How Many Different Ways Can the Parcels Be Sent by Registered Post? - Mathematics

Advertisements
Advertisements

प्रश्न

There are four parcels and five post-offices. In how many different ways can the parcels be sent by registered post?

Advertisements

उत्तर

Number of ways of sending 1 parcel via registered post = 5
Number of ways of sending 4 parcels via registered post through 5 post offices = 5\[\times\]5\[\times\]5\[\times\]5 = 625

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 16: Permutations - Exercise 16.2 [पृष्ठ १४]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.2 | Q 5 | पृष्ठ १४

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

If nC8 = nC2, find nC2.


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:

(i) exactly 3 girls?

(ii) atleast 3 girls?

(iii) atmost 3 girls?


Compute: 

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


Prove that

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

In a class there are 27 boys and 14 girls. The teacher wants to select 1 boy and 1 girl to represent the class in a function. In how many ways can the teacher make this selection?


A person wants to buy one fountain pen, one ball pen and one pencil from a stationery shop. If there are 10 fountain pen varieties, 12 ball pen varieties and 5 pencil varieties, in how many ways can he select these articles?


From Goa to Bombay there are two roots; air, and sea. From Bombay to Delhi there are three routes; air, rail and road. From Goa to Delhi via Bombay, how many kinds of routes are there?


There are 6 multiple choice questions in an examination. How many sequences of answers are possible, if the first three questions have 4 choices each and the next three have 2 each?


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


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?


How many different five-digit number licence plates can be made if

first digit cannot be zero and the repetition of digits is not allowed,


How many different five-digit number licence plates can be made if

the first-digit cannot be zero, but the repetition of digits is allowed?


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?


In how many ways can six persons be seated in a row?


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?


Evaluate the following:

12C10


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?


There are 10 professors and 20 students out of whom a committee of 2 professors and 3 students is to be formed. Find the number of ways in which this can be done. Further find in how many of these committees:
a particular professor is included.


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


A student has to answer 10 questions, choosing at least 4 from each of part A and part B. If there are 6 questions in part A and 7 in part B, in how many ways can the student choose 10 questions?


Find the number of diagonals of (ii) a polygon of 16 sides.


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?


How many words can be formed by taking 4 letters at a time from the letters of the word 'MORADABAD'?


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


If nC12 = nC8 , then n =


If n + 1C3 = 2 · nC2 , then n =


Find n and r if `""^"n""P"_"r"` = 720 and `""^"n""C"_("n" - "r")` = 120


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?


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


The straight lines l1, l2 and l3 are parallel and lie in the same plane. A total numbers of m points are taken on l1; n points on l2, k points on l3. The maximum number of triangles formed with vertices at these points are ______.


There are 10 lamps in a hall. Each one of them can be switched on independently. Find the number of ways in which the hall can be illuminated.


If 20 lines are drawn in a plane such that no two of them are parallel and no three are concurrent, in how many points will they intersect each other?


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 three girls.


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


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


If some or all of n objects are taken at a time, the number of combinations is 2n – 1.


The number of positive integers satisfying the inequality `""^(n+1)C_(n-2) - ""^(n+1)C_(n-1) ≤ 100` is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×