Answer:
16 ways
Step-by-step explanation:
We are given that
Total cards=52
Total queen in deck of cards=4
Total cards of heart=13
We know 1 card of queen is heart
Number of ways drawing one card of heart out of 13=[tex]13C_1[/tex]
Using combination formula ;[tex]nC_r=\frac{n!}{r!(n-r)!}[/tex]
Number of ways drawing one card of heart out of 13=[tex]\frac{13!}{1!12!}=\frac{13\times 12!}{12!}=13[/tex]
Number of ways of drawing one card of queen out of 4=[tex]4C_1=\frac{4!}{3!}[/tex]
Number of ways of drawing one card of queen out of 4=[tex]\frac{4\times 3!}{3!}=4[/tex]
Total number of ways of drawing one card out of 52 cards=[tex]13+4-1=16[/tex]
