Question

A candy factory produces the following chocolate candy bars: milk, dark, white, sweet, and semisweet. How many different bags of 6 chocolate bars are possible? A. 336 B. 240 C. 252 D. 462 E. 210

Answer 1

There is no restrictions on the chocolate candy bars for replacement, So we can select 6 chocolate bars from milk only or from any other type of candy and we can also select one from each of five and remaining one candy from any 5 candies.

So, we have to select 6 candies out of 5 in a bag

we need to find the number of different bags possible

Using the formula

where we have N = 5, R= 6

setting the values, we get

Required number of bags =

we can write it as

Required number of bags =

here we write 10! as 10*9*8*7*6*5!

now, 5! will cancel out from denominator and numerator

So, we get

Required number of bags =

So, 252 different bags are possible

option C is correct answer