A forecast forr Indian team is to be made of the results of five cricket matches, each of which can be win,draw or loss for indian team. (i) Total no. of possible forcast

A forecast for Indian team is to be made of the results of five cricket matches, each of which can be win,draw or loss for indian team. (i) Total no. of possible forecast

A forecast is to be made of the results of five cricket matches, each of which can be a win or a draw or a loss for Indian team. Let p= number of forecasts with exactly 1 error q= number of forecasts with exactly 3 error r= number of forecasts with all five error Then the correct statement(s) is/are a. 2q=5r b. 8p=q c. 8p=r d. 2(p+r)> q

A person predicts the outcome of 20 cricket matches of his home team. Each match can result in either a win, loss, or tie for the home team. Total number of ways in which he can make the predictions so that exactly 10 predictions are correct is equal to a. ^20 C_(10)xx2^(10) b. ^20 C_(10)xx3^(20) c. ^20 C_(10)xx3^(10) d. ^20 C_(10)xx2^(20)

Two teams are to play a series of five matches between them. A match ends in a win, loss, or draw for a team. A number of people forecast the result of each match and no two people make the same forecast for the series of matches. The smallest group of people in which one person forecasts correctly for all the matches will contain n people, where n is a. 81 b. 243 c. 486 d. none of these

C=8n+522 The equation above gives the cost, C, in dollars of manufacturing n items. A profit is made when the total revenue from selling a quantity of items is greater than the total cost of manufacturing the same quantity of items. If each items can be sold $14, which of the following inequalies gives all possible values of n that will produce a profit?

the results of 11 chess matches (as win , lose or draw ) are to be forecast . Out of all posible forecasts, the number of ways in which 8 correct and 3 incorrect results can be forecast is

In a shooting competition, three targets are set as shown: Target (I) has four rings on which a person can hit in order from inside to outside. Target (II) has three rings on which a person can hit in order from outside to inside. Target (III) has five rings on which a person can hit in order from inside to outside. The number of ways in which 12 shots (one at each ring) can be made: [Hint: Any target can be chosen before not completing specific target but order of hit for a particular target should be as specified above in condition.]

Two schools A and B decided to award prizes to their students for three values, team spirit, truthfulness and tolerance at the rate of R sdotx ,R sdoty and R sdotz per student respectively. School A , decided to award a total of Rs. 1,100 for the three values to 3, 1 and 2 students respectively while school B decided to award Rs. 1,400 for the three values to 1, 2 and 3 students respectively. If one prize for all the three values together amount to Rs. 600 then (i) Represent the above situation by a matrix equation after forming linear equations. (ii) Is it possible to solve the system of equations so obtained using matrices ? (iii) Which value you prefer to be rewarded most and why ?