मराठी

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 12C2 – 5C2. - Mathematics

Advertisements
Advertisements

प्रश्न

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.

पर्याय

  • True

  • False

MCQ
चूक किंवा बरोबर
Advertisements

उत्तर

This statement is False.

Explanation:

Required number of lines = 12C25C2 + 1

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Permutations and Combinations - Exercise [पृष्ठ १२६]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
पाठ 7 Permutations and Combinations
Exercise | Q 51 | पृष्ठ १२६

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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


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?


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?


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?


Compute:

 L.C.M. (6!, 7!, 8!)


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


How many A.P.'s with 10 terms are there whose first term is in the set {1, 2, 3} and whose common difference is in the set {1, 2, 3, 4, 5}?


How many three-digit odd numbers are there?


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?


Evaluate the following:

35C35


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)?


From a class of 12 boys and 10 girls, 10 students are to be chosen for a competition; at least including 4 boys and 4 girls. The 2 girls who won the prizes last year should be included. In how many ways can the selection be made?


From 4 officers and 8 jawans in how many ways can 6 be chosen (i) to include exactly one officer


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


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


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


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.


A tea party is arranged for 16 persons along two sides of a long table with 8 chairs on each side. Four persons wish to sit on one particular side and two on the other side. In how many ways can they be seated?


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 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


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


Find the value of 80C2


Find the value of 20C1619C16 


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?


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


All the letters of the word ‘EAMCOT’ are arranged in different possible ways. The number of such arrangements in which no two vowels are adjacent to each other is ______.


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 selections be made?


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 ______.


The value of `""^50"C"_4 + sum_("r" = 1)^6 ""^(56 - "r")"C"_3` is ______.


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


From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on the shelf so that the dictionary is always in the middle. Then, the number of such arrangements is ______.


A regular polygon has 20 sides. The number of triangles that can be drawn by using the vertices but not using the sides is


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×