हिंदी

The Number of Ways in Which a Host Lady Can Invite for a Party of 8 Out of 12 People of Whom Two Do Not Want to Attend the Party Together is (A) 2 × 11c7 + 10c8 (B) 10c8 + 11c7 (C) 12c8 − 10c6 - Mathematics

Advertisements
Advertisements

प्रश्न

The number of ways in which a host lady can invite for a party of 8 out of 12 people of whom two do not want to attend the party together is

विकल्प

  •  2 × 11C7 + 10C8

  • 10C8 + 11C7

  • 12C8 − 10C6

  • none of these

MCQ
Advertisements

उत्तर

12C8 − 10C6

A host lady can invite 8 out of 12 people in 

\[{12}_{C_8}\]
 ways. Two out of these 12 people do not want to attend the party together.
∴ Number of ways = 12C8 − 10C6
shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 17: Combinations - Exercise 17.5 [पृष्ठ २६]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
अध्याय 17 Combinations
Exercise 17.5 | Q 18 | पृष्ठ २६

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

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:

\[\frac{11! - 10!}{9!}\]

A mint prepares metallic calendars specifying months, dates and days in the form of monthly sheets (one plate for each month). How many types of calendars should it prepare to serve for all the possibilities in future years?


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?


Given 7 flags of different colours, how many different signals can be generated if a signal requires the use of two flags, one below the other?


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?


If 18Cx = 18Cx + 2, find x.


If 15Cr : 15Cr − 1 = 11 : 5, find r.


If 28C2r : 24C2r − 4 = 225 : 11, find r.


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


If 2nC3 : nC2 = 44 : 3, find n.


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


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


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 (i) no girl?


Find the number of (ii) triangles


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: at least 3 girls?


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?


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


There are 10 points in a plane and 4 of them are collinear. The number of straight lines joining any two of them is


If C0 + C1 + C2 + ... + Cn = 256, then 2nC2 is equal to


If 43Cr − 6 = 43C3r + 1 , then the value of r 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


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


Five students are selected from 11. How many ways can these students be selected if two specified students are not selected?


Find the value of 15C4 


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.


The number of triangles that are formed by choosing the vertices from a set of 12 points, seven of which lie on the same line is ______.


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


To fill 12 vacancies there are 25 candidates of which 5 are from scheduled castes. If 3 of the vacancies are reserved for scheduled caste candidates while the rest are open to all, the number of ways in which the selection can be made is 5C3 × 20C9.


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


A scientific committee is to be formed from 6 Indians and 8 foreigners, which includes at least 2 Indians and double the number of foreigners as Indians. Then the number of ways, the committee can be formed is ______.


All possible numbers are formed using the digits 1, 1, 2, 2, 2, 2, 3, 4, 4 taken all at a time. The number of such numbers in which the odd digits occupy even places is ______.


The number of numbers between 2,000 and 5,000 that can be formed with the digits 0, 1, 2, 3, 4, (repetition of digits is not allowed) and are multiple of 3 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×