In the first ward of a panchayat, the man to female ratio is `10: 11`. There are 3311 women. How many men are there? What is the total population in that panchayat?

There are 1200 voters in a panchayat ward and 80 % of them voted in an election. How many people voted?

A committee of 3 persons is to be constituted from a group of 2 men and 3 women. How many of these committees would consist of 1 man and 2 women?

A committee of 3 persons is to be constituted from a group of 2 men and 3 women. How many of these committees would consist of 1 man and 2 women?

How many ways can a team of 5 persons be selected out of a group of 4 men and 7 women, if the team has at least one man and one women?

The ratio between the 4^(th) term and 8^(th) term of an arithmetic sequence is 5: 11 . " "10^(th) term of this sequence is 56 i) What is the common difference of this sequence? ii) Find the 16^(th) term. iii) Find the sum of first 25 terms.

There are 8 men and 5 women. How many committees consists of 5 men and 3 women can be formed if one particular man and one particular woman are included in the committee?

A man owns a field of area 1,000 sq.m. He wants to plant fruit trees in it. He has a sum of Rs. 1,400 to purchase young trees. He has the choice of two types of the tree. Type A requires 10 sq.m of ground per tree and cost. Rs. 20 per tree and type B requires 20 sq.m of ground per tree and cost Rs. 25 per tree. When fully grown, type A produces an average of 20 kg fruit Which can be sold at a profit of Rs. 2 per kg and type B produces. an average of 40 kg of fruit which can be sold at a profit.of Rs. 1.50 per kg. How many of each type should he plant to achieve maximum profit when the trees are fully grown? What is the maximum profit?