I need this done help please asap i have a meeting with my teacher in 30 minutes
1 answer:
The answer to the given permutation and combination are
- 30240
- 15
- 58500
- 9
- 252
To solve the given problems, we have to use permutation and combination
<h3>Permutation and Combination</h3>This is a topic in mathematics that deals with the probability or number of ways an event can occur.
a)10P5
b) 6C2
c) This will be a multiplication of permutation of number. This becomes
This can happen in 58,500 ways.
d) To arrange 9 blocks in a row, she can do it in
she can do this in 9 ways
e) This can be solved using combination by writing it as
She can do this in 252 ways.
From the above calculations, the answer to the given permutation and combination are
- 30240
- 15
- 58500
- 9
- 252
Learn more on permutation and combination here;
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Given that the jeweler has alloys that are 25% gold, 50% gold, and 82% gold.
As he wants to make 14 grams of an alloy by adding two different alloys that is precisely 75% gold, so one alloy must have a percentage of gold more than 75%.
One alloy is 82% gold and, the second can be chosen between 25% gold, 50% gold, so there are two cases.
Case 1: 82% gold + 50% gold
Let x grams of 82% gold and y grams of 50% gold added to make x+y=14 grams of 75% gold, so
75% of 14 = 82% of x + 50% of y
[as x+y=14]
grams
and grams.
Hence, 10.9375 grams of 82% gold and 3.0625 grams of 50% gold added to make 14 grams of 75% gold.
Case 2: 82% gold + 25% gold
Let x grams of 82% gold and y grams of 25% gold added to make x+y=14 grams of 75% gold, so
75% of 14 = 82% of x + 25% of y
grams
and grams.
Hence, 12.28 grams of 82% gold and 1.72 grams of 50% gold added to make 14 grams of 75% gold.