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Choose the correct alternative:In 2nC3 : nC3 = 11 : 1 then - Mathematics

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प्रश्न

Choose the correct alternative:
In 2nC3 : nC3 = 11 : 1 then

पर्याय

  • 5

  • 6

  • 11

  • 7

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उत्तर

6

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Combinations
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Combinatorics and Mathematical Induction - Exercise 4.5 [पृष्ठ १९८]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 4 Combinatorics and Mathematical Induction
Exercise 4.5 | Q 17 | पृष्ठ १९८

संबंधित प्रश्‍न

There are 18 guests at a dinner party. They have to sit 9 guests on either side of a long table, three particular persons decide to sit on one side and two others on the other side. In how many ways can the guests to be seated?


In how many ways can a cricket team of 11 players be chosen out of a batch of 15 players?

  1. There is no restriction on the selection.
  2. A particular player is always chosen.
  3. A particular player is never chosen.

A committee of 5 is to be formed out of 6 gents and 4 ladies. In how many ways this can be done when

  1. atleast two ladies are included.
  2. atmost two ladies are included.

How many code symbols can be formed using 5 out of 6 letters A, B, C, D, E, F so that the letters

  1. cannot be repeated
  2. can be repeated
  3. cannot be repeated but must begin with E
  4. cannot be repeated but end with CAB.

The number of ways selecting 4 players out of 5 is


If nPr = 720(nCr), then r is equal to:


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


The value of (5C0 + 5C1) + (5C1 + 5C2) + (5C2 + 5C3) + (5C3 + 5C4) + (5C4 + 5C5) is:


Prove that 15C3 + 2 × 15C4 + 15C5 = 17C5


Prove that `""^(2"n")"C"_"n" = (2^"n" xx 1 xx 3 xx ... (2"n" - 1))/("n"!)`


There are 15 persons in a party and if each 2 of them shakes hands with each other, how many handshakes happen in the party?


How many ways can a team of 3 boys,2 girls and 1 transgender be selected from 5 boys, 4 girls and 2 transgenders?


A trust has 25 members. How many ways 3 officers can be selected?


Find the number of ways of forming a committee of 5 members out of 7 Indians and 5 Americans, so that always Indians will be the majority in the committee


A committee of 7 peoples has to be formed from 8 men and 4 women. In how many ways can this be done when the committee consists of at most 3 women?


7 relatives of a man comprises 4 ladies and 3 gentlemen, his wife also has 7 relatives; 3 of them are ladies and 4 gentlemen. In how many ways can they invite a dinner party of 3 ladies and 3 gentlemen so that there are 3 of man’s relative and 3 of the wife’ s relatives?


A box contains two white balls, three black balls and four red balls. In how many ways can three balls be drawn from the box, if at least one black ball is to be included in the draw?


Find the number of strings of 4 letters that can be formed with the letters of the word EXAMINATION?


How many triangles can be formed by joining 15 points on the plane, in which no line joining any three points?


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