Question

There are 3 decks of cards, each deck has 6 cards marked 1,2,3,4,5, and 6. What is the total number of
possible ways of drawing one card from each deck, so that the sum of the three cards drawn is 7?
a) 15
b) 10
c) 24
d) 12​

Answer 1

Step-by-step explanation:

there are these numbers 1,2,3,4,5,6

now addition of which number from each deck leads to sum 7

➡️1,2,4

➡️2,3,2

➡️3,2,2

➡️4,1,2

➡️5,1,1

➡️2,4,1

and so on

hence option a is correct

Answer 2

Step-by-step explanation:

Given that:There are 3 decks of cards, each deck has 6 cards marked 1,2,3,4,5, and 6.

To find:What is the total number of possible ways of drawing one card from each deck, so that the sum of the three cards drawn is 7?

a) 15

b) 10

c) 24

d) 12

Solution: I am tabulating the total number of possible ways

$\begin{tabular}{|c|c|c|c|c|}\cline{1-4}DECK(1)& DECK(2)&DECK(3)&Sum\\\cline{1-4}1&1&5&7\\\cline{1-4}1&2&4&7\\\cline{1-4}1&3&3&7\\\cline{1-4}1&4&2&7\\\cline{1-4}1&5&1&7\\\cline{1-4}2&1&4&7\\\cline{1-4}2&2&3&7\\\cline{1-4}2&3&2&7\\\cline{1-4}2&4&1&7\\\cline{1-4}3&1&3&7\\\cline{1-4}3&2&2&7\\\cline{1-4}3&3&1&7\\\cline{1-4}4&1&2&7\\\cline{1-4}4&2&1&7\\\cline{1-4}5&1&1&7\\\cline{1-4}Total\:ways&&& 15&\\\cline{1-4}\end{tabular}$

Total possible ways of drawing 1 card from 3 deck so that sum of digits on cards are 7 are 15.

Hope it helps you.