SOLUTION: AN ICE CREAM SHOP HAS 16 DIFFERENT FLAVORS AND 4 DIFFERENT TOPPINGS. IF A REGULAR SUNDAE CONTAINS 2 SCOOPS OF ICE CREAM AND 1 TOPPING, HOW MANY DIFFERENT SUNDAES CAN BE CREATED?

Question 422857: AN ICE CREAM SHOP HAS 16 DIFFERENT FLAVORS AND 4 DIFFERENT TOPPINGS. IF A REGULAR SUNDAE CONTAINS 2 SCOOPS OF ICE CREAM AND 1 TOPPING, HOW MANY DIFFERENT SUNDAES CAN BE CREATED?

IF U COULD HELP THAT WOULD BE GREAT!! THE ANSWER IS 544 BUT I DONT KNOW HOW YOU GET THAT ANSWER. :)
Found 2 solutions by sudhanshu_kmr, rfer:
Answer by sudhanshu_kmr(1152) (Show Source): You can put this solution on YOUR website!

no. of ways to select 2 scoops of ice cream =

no. of ways when both have same flavour + no. of ways when both have different flavours
= 16C1 + 16C2
= 16 + 120
= 136
no. of ways to topping = 4C1 = 4

total no. of possible sundaes = 136 * 4
= 544

i hope u get it now..

Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
2(16)(4*4+1)=544
32 ice cream combiations
16 topping combinations
1 topping per sundae
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