If two particular students refuse to be together and two other particular students wish to be together only in the delegation

226

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

340

No worries! We‘ve got your back. Try BYJU‘S free classes today!

400

No worries! We‘ve got your back. Try BYJU‘S free classes today!

324

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D $226$
There are several cases
Let A and B wants to go together and C and D do wants to go together.
case 1-> Exclude A and B and include C or D.
$8 C_{2} + 2 C_{1} \times 8 C_{1}$ =44
Case 2 -> C and D are excluded.
$8 C_{2} + 2 C_{1} \times 8 C_{3}$ =182
Total number of ways $= 182 + 44 = 226$

Suggest Corrections

Similar questions

Q. A delegation of

4

students is to be selected from a total

12

students, in how many ways can the delegation be selected?
(i) If all the students are equally willing?
(ii) If two particular students have to be included in the delegation?
(iii) If two particular students do not wish to be together in the delegation?
(iv) If two particular students wish to be included together only in the delegation
(v) If two particular students refuse to be together, and two other particular students wish to be together only in the delegation?

Q. A team of four students is to be selected from a total of

12

students. The total number of ways in which the team can be selected such that two particular students refuse to be together and other two particular students wish to be together only is equal to

Q. A team of

4

students is to be selected from a total of

12

students. The total number of ways in which the team can be selected such that two particular students refuse to be together and other two particular students wish to be together only is equal to

Q. A delegation of four friends to be selected from a group of

12

friends. The number of ways the delegation be selected if two particular friends refused to be together and two other particular friends wish to be together only in the delegation.

Team of four students is to be selected from a total of 12 students for a quiz competition. In how many ways it can be selected if two particular students refuse to be together and two particular students wish to be together only in the team. .

Join BYJU'S Learning Program

If two particular students refuse to be together and two other particular students wish to be together only in the delegation

The correct option is D 226There are several cases Let A and B wants to go together and C and D do wants to go together.case 1-> Exclude A and B and include C or D. 8C2+2C1×8C1=44Case 2 -> C and D are excluded.8C2+2C1×8C3=182Total number of ways =182+44=226