To solve this problem, we need to understand that we are dealing with permutations, which is a way of arranging items where the order is important.

Step 1: Determine the number of even places. Since there are 9 people in total, there are 4 even places (2nd, 4th, 6th, 8th).

Step 2: Determine the number of ways to arrange the women. Since there are 4 women and 4 even places, the number of ways to arrange the women is 4!, which equals 24.

Step 3: Determine the number of ways to arrange the men. Since there are 5 men and 5 remaining places (1st, 3rd, 5th, 7th, 9th), the number of ways to arrange the men is 5!, which equals 120.

Step 4: Multiply the number of ways to arrange the women and the men to get the total number of arrangements. So, 24 * 120 = 2880.

Therefore, the number of such arrangements possible is 2880. So, the correct answer is 2880.

Question

To solve this problem, we need to understand that we are dealing with permutations, which is a way of arranging items where the order is important.

Step 1: Determine the number of even places. Since there are 9 people in total, there are 4 even places (2nd, 4th, 6th, 8th).

Step 2: Determine the number of ways to arrange the women. Since there are 4 women and 4 even places, the number of ways to arrange the women is 4!, which equals 24.

Step 3: Determine the number of ways to arrange the men. Since there are 5 men and 5 remaining places (1st, 3rd, 5th, 7th, 9th), the number of ways to arrange the men is 5!, which equals 120.

Step 4: Multiply the number of ways to arrange the women and the men to get the total number of arrangements. So, 24 * 120 = 2880.

Therefore, the number of such arrangements possible is 2880. So, the correct answer is 2880.

Knowee AI · Accepted Answer

To solve this problem, we need to understand that we are dealing with permutations, which is a way of arranging items where the order is important.

Step 1: Determine the number of even places. Since there are 9 people in total, there are 4 even places (2nd, 4th, 6th, 8th).

Step 2: Determine the number of ways to arrange the women. Since there are 4 women and 4 even places, the number of ways to arrange the women is 4!, which equals 24.

Step 3: Determine the number of ways to arrange the men. Since there are 5 men and 5 remaining places (1st, 3rd, 5th, 7th, 9th), the number of ways to arrange the men is 5!, which equals 120.

Step 4: Multiply the number of ways to arrange the women and the men to get the total number of arrangements. So, 24 * 120 = 2880.

Therefore, the number of such arrangements possible is 2880. So, the correct answer is 2880.

5 men and 4 women are to be seated in a row so that the women occupy the even places. How many such arrangements are possible?Choices:- 2245 1284 2880 2546

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