Answer:
7. combination; 25C6 = 177100
8. combination; 15C5 = 3003
Step-by-step explanation:
7. The order of the committee member selections is not important. (It would be if specific people filled specific positions on the committee.) Hence, the number is a number of combinations of 25 people taken 6 at a time.
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8. The order of players is not important, as it might be if specific choices filled specific positions on the team. (The problem statement gives no indication that is the case. It is only by our knowledge of basketball teams that we entertain the possibility that order might be important.) Hence, the number is a number of combinations of 15 people taken 5 at a time.
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Of course, nCk = n!/(k!(n-k)!)
Answer:
2nd one on the left
Step-by-step explanation:
4*6=24
Max weight of the crate - the empty crate/ by 35 (the weight of the individual boxes)
850-150=700
700 lbs is the remaining weight available that can be filled with 35 lb boxes, to find out the number of boxes that can be added to the crate, divide 700 by 35.
700/35 = 20
Ernest can put in 20 boxes in the crate.
"Dram" is a unit of volume, whereas "gram" is a unit of mass.
They can't be directly converted. If they both refer to a sample
of some substance, then the conversion depends on the density
of the substance. All we can say for sure by way of an answer is:
To change 'drams' to 'grams', replace the 'd' with 'g'.
A^2 + b^2 = c^2
a^2 + 9^2 = 18^2
a^2 + 81 = 324
a^2 = 243
a = 15.589 = 15.6 feet is the angle the ladder is at :)