English

A student finds 7 books of his interest, but can borrow only three books. He wants to borrow Chemistry part II book only if Chemistry Part I can also be borrowed. Find the number of ways he can

Advertisements
Advertisements

Question

A student finds 7 books of his interest, but can borrow only three books. He wants to borrow Chemistry part II book only if Chemistry Part I can also be borrowed. Find the number of ways he can choose three books that he wants to borrow.

Sum
Advertisements

Solution

Chemistry Part I
borrowed
Chemistry Part I
not borrowed
Only one book from remaining 5 books borrowed All three books borrowed from remaining 5 books

Number of selections

= 5C1 = 5

Number of selections

= 5C3 = 10

Required Number = 5 + 10 = 15

shaalaa.com
  Is there an error in this question or solution?
Chapter 6: Permutations and Combinations - Miscellaneous Exercise 6 [Page 92]

APPEARS IN

Balbharati Mathematics and Statistics (Commerce) Part 2 [English] Standard 11 Maharashtra State Board
Chapter 6 Permutations and Combinations
Miscellaneous Exercise 6 | Q 9 | Page 92

RELATED QUESTIONS

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?


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?


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


If nC12 = nC5, find the value of n.


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


Find the number of diagonals of , 1.a hexagon


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


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


Three persons enter a railway compartment. If there are 5 seats vacant, in how many ways can they take these seats?


In how many ways can a committee of 5 be made out of 6 men and 4 women containing at least one women?


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


There are 8 doctors and 4 lawyers in a panel. Find the number of ways for selecting a team of 6 if at least one doctor must be in the team.


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?


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


Three balls are drawn from a bag containing 5 red, 4 white and 3 black balls. The number of ways in which this can be done if at least 2 are red is ______.


A box contains 2 white balls, 3 black balls and 4 red balls. The number of ways three balls be drawn from the box if at least one black ball is to be included in the draw is ______.


There are ten boys B1, B2, ...., B10 and five girls G1, G2, ...., G5 in a class. Then the number of ways of forming a group consisting of three boys and three girls, if both B1 and B2 together should not be the members of a group is ______.


The number of words, with or without meaning, that can be formed by taking 4 letters at a time from the letters of the word 'SYLLABUS' such that two letters are distinct and two letters are alike is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×