At an awards ceremony, nine women and seven men are each to receive an award and are to be presented with their award one at a time. Two of the awards are to be first given to two of the women, and then the remaining awards will alternate between men and women. How many ways can this be done

3432 different ways.

Step-by-step explanation:

Since the men and women are not individually characterized (no names are given) we will treat them as similar objects with regards to permutations.

Let's leave out the two women that receive the award first.

We now have 7 men and 7 women to receive the reward.

This translates to the following permutation:

= 3432 different ways to give out the awards.

The 7! in the denominator exist to account for same objects, 7! for men and 7! for women.

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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i am sorry it just submitted an answer but the answer is 365 boys. hopes this

step-by-step explanation: