Home > Statistical Methods calculators > Permutation & combination calculator > How many ways a committee of players can be formed

Method and examples
Permutation & combination calculator

Method

 1. Find n! n = ! 3!4!5!6!7!8!
2. Find (n!)/(m!)
 ! !

1. (3!)/(2!)
2. (4!)/(5!)
3. (5!)/(3!)
4. (6!)/(4!)
5. (7!)/(8!)
6. (8!)/(6!)

 3. Find {::}^nP_r n = , r = {::}^(3)P_(2){::}^(4)P_(4){::}^(5)P_(3){::}^(6)P_(4){::}^(7)P_(5){::}^(8)P_(6)
 4. Find {::}^nC_r n = , r = {::}^(3)C_(2){::}^(4)C_(4){::}^(5)C_(3){::}^(6)C_(4){::}^(7)C_(5){::}^(8)C_(6)
 5. How many words can be formed from the letters of the word daughter? How many words can be formed by using all letters of the word . and daughtersistermotherfatherbrother
 6. How many ways a committee of players can be formed ? Option 1. 5 men,6 women,7 child selected example 2. Out of 5 atleast 1 men selected example From a group of a committee of From a group of 6 Men, 5 Women. In how many ways a committee of 3 Men, 2 Women can be formed ?From a group of 7 Men, 6 Women. 5 persons are to be selected, so that atleast 3 Men are there in the committee.From a group of 15 Player. In how many ways a committee of 11 Player can be formed ?From a group of 6 boys, 4 girls. 4 persons are to be selected, so that atleast 1 boys are there in the committee.From a group of 2 white, 3 black, 4 red. 3 persons are to be selected, so that atleast 1 black are there in the committee.
 7. Permutation, Combination List n = , r = Is order important?   Yes No Is repetition allowed?   Yes No List variables : A,B,C,D,E,...,Z 1,2,3,4,5,...,10 n=3, r=2n=4, r=4n=5, r=3n=6, r=4n=7, r=5n=8, r=6
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