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lisov135 [29]
2 years ago
12

The sum of two numbers is x. if one of the numbers is 12, what is the other

Mathematics
1 answer:
nekit [7.7K]2 years ago
3 0
Let y be the unknown number
12+y=x \\ \\ y=x-12

The other number is x - 12
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A company has 7 male and 9 female employees, and needs to nominate 2 men and 2 women for the company bowling team. How many diff
lys-0071 [83]

Answer:

The team can be formed in 756 different ways

Step-by-step explanation:

This is a combination problem since we are to select a set of people from a group. Combination has to do with selection.

for example, if r number of object is to be selected from a pool of n objects, this can be done in nCr number of ways.

nCr = \frac{n!}{(n-r)!r!}

Now If A company has 7 male and 9 female employees, and needs to nominate 2 men and 2 women for the company bowling team, then this can be done in the following way;

7C2 * 9C2

7C2 = \frac{7!}{5!2!} \\= \frac{7*6*5!}{5!*2} \\= 7*3\\= 21ways\\\\similarly;\\\\9C2 = \frac{9!}{7!2!}\\9C2= \frac{9*8*7!}{7!*2} \\9C2 = 9*4\\9C2 = 36

7C2 * 9C2 = 21*36

= 756

The team can be formed in 756 different ways

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ALGEBRA 1
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