If a cricket team of 11 players is to be selected from 8 batsman, 6 bowlers, 4 all rounder and 2 wicket keepers, then
The numbr of selections when atmost 1 all rounder and 1 wicket keeper will play is

If a cricket team of 11 players is to be selected from 8 batsmen, 6 bowlers, 4 all-rounder and 2 wicket keepers, then Number of selection when 2 particular batsmen dont want to play when a particular bowler will play is (A) .^(17)C_10 + ^(19)C_11 (B) .^(17)C_10 + ^(19)C_11 + ^(17)C_11 (C) . ^(17)C_10 + ^(20)C_11 (D) . ^(19)C_10 + ^(19)C_11

In 25 cricket players, there are 10 batsmen, 9 bowlers, 4 all-rounders and 2 wicket-keppers. In how many ways can a team of 11 players be selected which includes 5 batsmen, 4 bowlers, 1 all-rounder and 1 wicketkeeper?

In how many ways can a team of 11 players be selected from 14 players when two of them can play as goalkeepers only?

16 players P_(1),P_(2),P_(3),….P_(16) take part in a tennis tournament. Lower suffix player is better than any higher suffix player. These players are to be divided into 4 groups each comprising of 4 players and the best from each group is selected to semifinals. Q. Number of ways in which these 16 players can be divided into four equal groups, such that when the best player is selected from each group P_(6) in one among them is (k)(12!)/((4!)^(3)) the value of k is

All possible products are formed from the numbers 1, 2, 3, 4, ..., 200 by selecting any two without repetition. The number of products out of the total obtained which are multiples of 5 is :

In how many ways can one select a cricket team of eleven from 17 players in which only 5 players can bowl if each cricket team of 11 must include exactly 4 bowlers?

In how many ways can one select a cricket team of elevens from 17 players in which only 5 players can bowl if each cricket team of 11 must include exactly 4 bowlers?

Assertion: Number of ways in which fruits can be selected from 4 apples, 3 oranges and 2 mangoes is 24. Reason: Zero or more things can be selected out of n identical things in (n+1) ways and number of ways when no apple, no orange and no mango is selected is 1^3 i.e. 1. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not the correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Five numbers are selected from 1, 2, 3, 4, 5, 6, 7, 8 and 9. The probability that their product is divisible by 5 or 7 is

16 players P_1,P_2,P_3,.. P_16 take part in a tennis tounament. Lower suffix player is better han any higher suffix player. These players are to be divided into 4 groups each comprising of 4 players and the best from each group is selected for semifinals .Number ways in which 16 players can be divided into four equal groups , is