मराठी

15C8 + 15C9 – 15C6 – 15C7 = ______. - Mathematics

Advertisements
Advertisements

प्रश्न

15C8 + 15C915C615C7 = ______.

रिकाम्या जागा भरा
Advertisements

उत्तर

15C8 + 15C915C615C7 = 0.

Explanation:

15C8 + 15C915C615C7 = 15C15–8 + 15C15–915C615C7  ......[∵ nCr = nCn–r]

= 15C7 + 15C615C615C7 

= 0

Hence, the value of the filler is 0.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Permutations and Combinations - Exercise [पृष्ठ १२५]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
पाठ 7 Permutations and Combinations
Exercise | Q 42 | पृष्ठ १२५

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

If the different permutations of all the letter of the word EXAMINATION are listed as in a dictionary, how many words are there in this list before the first word starting with E?


Compute:

 L.C.M. (6!, 7!, 8!)


In how many ways can an examinee answer a set of ten true/false type questions?


How many three-digit numbers are there?


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,


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`


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


How many four digit different numbers, greater than 5000 can be formed with the digits 1, 2, 5, 9, 0 when repetition of digits is not allowed?


Evaluate the following:

35C35


24Cx = 24C2x + 3, find x.


If 15C3r = 15Cr + 3, find r.


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


If 2nC3 : nC2 = 44 : 3, find n.


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


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?


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


A candidate is required to answer 7 questions out of 12 questions which are divided into two groups, each containing 6 questions. He is not permitted to attempt more than 5 questions from either group. In how many ways can he choose the 7 questions?


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


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


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 ways in which : (b) an arrangement, of four letters can be made from the letters of the word 'PROPORTION'.


How many different committees of 5 can be formed from 6 men and 4 women on which exact 3 men and 2 women serve?
(a) 6
(b) 20
(c) 60
(d) 120


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


Find n if `""^(2"n")"C"_3: ""^"n""C"_2` = 52:3


Find the value of 80C2


Answer the following:

A question paper has 6 questions. How many ways does a student have to answer if he wants to solve at least one question?


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 ______.


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


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 ______.


The number of ways in which a team of eleven players can be selected from 22 players always including 2 of them and excluding 4 of them is ______.


The total number of ways in which six ‘+’ and four ‘–’ signs can be arranged in a line such that no two signs ‘–’ occur together is ______.


There are 12 points in a plane of which 5 points are collinear, then the number of lines obtained by joining these points in pairs is 12C25C2.


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 ______.


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 ______.


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×