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 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

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

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

p, q, r, s, t, are five numbers such that the average of p,q and r is 5 and that of s and t is 10. What is the average of all the five numbers ?

If p,q and r are prime numbers such that r=q+2 and q=p+2 , then the number of triples of the form (p,q,r) is