Question

9. In how many ways can we draw a heart or a spade from an ordinary deck of plaving cards?
(a 169 (b) 26 (c) 52 (d) None of these​

Answer 1

Among the playing cards there are 13 hearts from which one has to be selected.

No. of ways of selecting one among the 13 hearts $\displaystyle\sf {=\,^{13}C_1=13.}$

Among the playing cards there are 13 spades from which one has to be selected.

No. of ways of selecting one among the 13 spades $\displaystyle\sf {=\,^{13}C_1=13.}$

One heart "or" one spade is being selected at a time, so the total no. of ways of selection $\displaystyle\sf {=13+13=26.}$

Hence (b) is the answer.