A school committee consists of 2 teachers and 4 students. The number of different committees that can be formed from 5 teachers and 10 students is :

A school committee consists of 2 teachers and 4 students. The number of different committees that can be formed from 5 teachers and 10 students is : Correct Answer 2,100

5 জন থেকে 2 জন নিয়ে কমিটি করা যায় ⸫ <math xmlns = "http://www.w3.org/1998/Math/MathML"><mmultiscripts><mi>C</mi><mn>2</mn><none/><mprescripts/><mrow/><mn>5</mn></mmultiscripts><mo> = </mo><mfrac><mrow><mn>5</mn><mo>!</mo></mrow><mrow><mn>2</mn><mo>!</mo><mo>(</mo><mn>5</mn><mo> - </mo><mn>2</mn><mo>)</mo><mo>!</mo></mrow></mfrac><mo> = </mo><mfrac><mrow><mn>5</mn><mo>&#xD7;</mo><mn>4</mn><mo>&#xD7;</mo><mn>3</mn><mo>!</mo></mrow><mrow><mo>(</mo><mn>2</mn><mo>&#xD7;</mo><mn>1</mn><mo>)</mo><mn>3</mn><mo>!</mo></mrow></mfrac><mo> = </mo><mfrac><mn>20</mn><mn>2</mn></mfrac><mo> = </mo><mn>10</mn></math> উপায়অনুরুপভাবে, ⸫ <math xmlns = "http://www.w3.org/1998/Math/MathML"><mmultiscripts><mi>C</mi><mn>4</mn><none/><mprescripts/><mrow/><mn>10</mn></mmultiscripts><mo> = </mo><mfrac><mrow><mn>10</mn><mo>!</mo></mrow><mrow><mo>{</mo><mn>4</mn><mo>!</mo><mo>(</mo><mn>10</mn><mo> - </mo><mn>4</mn><mo>)</mo><mo>!</mo><mo>}</mo></mrow></mfrac><mo> = </mo><mfrac><mrow><mn>10</mn><mo>&#xD7;</mo><mn>9</mn><mo>&#xD7;</mo><mn>8</mn><mo>&#xD7;</mo><mn>7</mn><mo>&#xD7;</mo><mn>6</mn><mo>!</mo></mrow><mrow><mo>(</mo><mn>4</mn><mo>&#xD7;</mo><mn>3</mn><mo>&#xD7;</mo><mn>2</mn><mo>&#xD7;</mo><mn>1</mn><mo>)</mo><mn>6</mn><mo>!</mo></mrow></mfrac><mo> = </mo><mfrac><mn>5040</mn><mn>24</mn></mfrac><mo> = </mo><mn>210</mn></math>কমিটি করা যায় (210×10) = 2100 উপায়
Bissoy MCQ

Related Questions

The membership of two committees , football committee and cricket committee , must be drawn exclusively form a group of seven people . Farid, Gaffar , Helal , Iftekhar , Jalil , Kalam and Lalit. * Each of the seven people must serve on a committee. * No one can serve on both committees. * Farid cannot be on a committee with Gaffar or with Jalil. * Helal cannot serve on a committee with Iftekhar. If Helal serves on football committee, which of the following must be true?
A school committee consists of 2 teachers and 4 students. The number of different committees that can be formed 5 teachers and 10 students is :
The present ratio of students to teachers at a certain school is 30 to 1. If the number of students were to increase by 50 and that of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers?
The present ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers?
The present ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers ?
There are six teachers. Out of them two are primary teachers and two are secondary teachers. They are to stand in a row, so as the primary teachers, middle teachers and secondary teachers are always in a set . The number of ways in which they can do so, is-
Two different schools, A and B, have the same number of students. The ratio of the boys in school A and the boys in school B is 2:1 and the ratio of the girls in school A and the girls in school B is 4:5. What is the ratio of the boys in school A to the girls in school A?
Committee X has 4 members, committees Y has 5 members, and these committees have no members in common. If a task force is to be formed consisting of one member of X and one member of Y, how many different task forces are possible?
The persent ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teacher?
Two-thirds of the teachers of high school are women, twelve of the male teachers are unmarried while 3/5 of the male teachers are there in the school?