coontcakes
24.10.2019 •
Mathematics
Of 19 possible books, you plan to take 6 with you on vacation. how many different collections of 6 books can you take?
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Ответ:
27132
Step-by-step explanation:
Assuming the order does not matter, since it will always be a mixture of the same 6 books, we can calculate a combination for these outcomes.
The combination formula is:
nCr = n! ÷ (n-r)!r!
, where ! represents factorials, n represents the total number of items, and r represents the number of items being chosen.
So 19! ÷ (19-6)!6! = 19! ÷ 13! • 6!
19 • 18 • 17 • 16 • 15 • 14 ÷ 6 • 5 • 4 • 3 • 2
= 27132 different combinations of the 6 books.
If you use a calculator, find nCr, plug in 19 for n, and 6 for r.
Ответ:
7 pounder = x oz
x = 16×7 = 112
112 oz × 16 oz =1792 oz