stats arrangement question

[Mortal9090]

From a group of ten people, four are to be chosen to serve on a committee.

among the ten people, there is one married couple. find the probability that both the husband and the wife will be chosen.

(the correct answer is 2/15)

 

[Amberkgkl]

total ways=10C4 that is 210
no.of ways wen husb wife are together that is 1*8C2=28
Probability of husb and wife together=28/210 that is 2/15