Dwanye has 18 shirts hanging in his closet. He is going to donate 4 of them to a clothing drive. How many combinations of shirts can Dwanye use for his donation?
a) 73,440
b)72
c) 104,976
d) 3060
b
18*17*16*15
a is thanks bobpursley
To figure out the number of combinations of shirts that Dwanye can use for his donation, we need to use the concept of combinations.
The formula for combinations is:
nCr = n! / (r! * (n - r)!)
Where n is the total number of items, r is the number of items chosen, and ! represents the factorial.
In this case, Dwanye has 18 shirts and he wants to choose 4 shirts for donation. So, n = 18 and r = 4.
Let's calculate the combinations using the formula:
18C4 = 18! / (4! * (18 - 4)!)
= 18! / (4! * 14!)
= (18 * 17 * 16 * 15 * 14!) / (4! * 14!)
= (18 * 17 * 16 * 15) / (4 * 3 * 2 * 1)
= 73,440 / 24
= 3,060
Therefore, the correct answer is option d) 3060.