Eight chairs are numbered 1 to 8. Two women and 3 men wish to occupy one chair each. First the women choose the chairs from amongst the chairs 1 to 4 and then men select from the remaining chairs. Find the total number of possible arrangements.

Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4, and then the men select th chairs from amongst the remaining. The number of possible arrangements is a. ^6C_3xx^4C_2 b. ^4P_2xx^4P_3 c. ^4C_2xx^4P_3 d. none of these

Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4, and then the men select th chairs from amongst the remaining. The number of possible arrangements is a. ^6C_3xx^4C_2 b. ^4P_2xx^4P_3 c. ^4C_2xx^4P_3 d. none of these

If there are x rows of chairs and each row contains x^2 chairs. Determine the total number of chairs.

Two numbers are selected at random from the integers 1 to 13. If the sum is even, find the probability that both numbers are odd

3 women and 5 men are to sit in a row a dinner. Find in how many ways they can be arranged so that no two women sit next to each other.

It is required to seat 8 men and 4 women in a row so that the women occupy the even places. How many such arrangements are possible?

The ratio of two numbers is (2)/(3) . If 2 is subtracted from the first and 8 from the second, the ratio becomes the reciprocal of the original ratio. Find the numbers.

Two consecutive numbers from 1,2,3 …., n are removed .The arithmetic mean of the remaining numbers is 105/4 The sum of all numbers

Two numbers are selected at random from integers 1 through 9. If the sum is even, find the probability that both the numbers are odd.

The number of ways of arranging 8 men and 5 women around a circular table such that no two women can sit together is