Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • A, B, C, D develop 18 items. Five items jointly by A and C, four items by A and D, four items by B and C and five items by B and D. The number of ways of selectin

A, B, C, D develop 18 items. Five items jointly by A and C, four items by A and D, four items by B and C and five items by B and D. The number of ways of selecting eight items out of 18 so that the selected ones belong equally to \mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D} is

 

Option: 1

5226


Option: 2

5626


Option: 3

4418


Option: 4

4936


Answers (1)

Required number of ways of selecting 8 items out of ' 18 ' so that selected ones belong equally to \mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}

\begin{aligned} = & \left({ }^5 C_2\right)^2 \cdot\left({ }^4 C_2\right)^2+\left({ }^5 C_1\right)^2 \cdot\left({ }^4 C_3\right)^2 \\ \\& +\left({ }^5 C_3\right)^2 \cdot\left({ }^4 C_1\right)^2+\left({ }^5 C_4\right)^2+\left({ }^4 C_4\right)^2 \\ \\= & 100 \times 36+25 \times 16+100 \times 16+25+1 \\ \\= & 5626 \end{aligned}

Posted by

Ramraj Saini

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Latest Question