The results of 6 cricket test mathes (win loss or draw are to be predicted . How many different forecasts can contain exactly 2 correct results ?

The Indian Cricket XI is to play 5 test matches against M.C.C Cricket XI in the next winter . The results of these 5 matches (win , loss or draw ) are to be predicted . How many different forecasts can contain all the 5 correct results ?

The results (win , loss or draw ) of 10 fooball matches are to be predicted . How many different forecasts can contain exactly 6 correct results ?

The results (win,loss or draw) of 10 football matches are to be predicted.How many different forecasts can contain exactly 6 correct results?

The results of 21 football matches (win, lose or draw) are to the predicted. The number of forecasts that contains exactly 18 correct results is (i) .^21C_3(2^18)^ (ii) .^21C_3(2^3) (iii) (3^21)-2^18 (iv) .^21C3(3^21)-2^18

The results of 21 football matches (win,lose, draw)are to be predicted.The no.of different forecasts that can contain 19 wins is

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

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

How many six-digit numbers contain exactly four different digits?

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