We wish to select $6$ persons from $8$ , but if the person A is chosen, then B must be chosen. In how many ways can selections be made?

20

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

22

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

24

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

26

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

Open in App

Solution

The correct option is A $22$
When A is not Taken then B may be Chosen (No of remaining Candidates $= 8 - 1 = 7$ )
No.of selections $=^{7} C_{6} = 7$

When A is taken B must be chosen (No of remaining Candidates $= 6$ and number of remaining selections $= 4$ )
No. of selections $=^{6} C_{4} = 15$

Total no. of ways $= 15 + 7 = 22$

Suggest Corrections

Similar questions

6

13

13

10

6

10

6

In how many ways we can select a committee of 6 persons from 6boys and 3girls ,if at least two boys and at least two girls must be in the committe

Join BYJU'S Learning Program