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Method and examples
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Permutation & combination calculator
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Method
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6. How many ways a committee of players can be formed ?
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Option
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From a group of
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a committee of
persons are to be selected, so that
are there in the committee
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- 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.
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7. Permutation, Combination List
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n =
,
r =
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Is order important?
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Is repetition allowed?
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List variables :
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- `n=3, r=2`
- `n=4, r=4`
- `n=5, r=3`
- `n=6, r=4`
- `n=7, r=5`
- `n=8, r=6`
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Solution
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Solution provided by AtoZmath.com
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Permutation & combination - How many words can be formed from the letters of the word daughter? calculator
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1. Find `n!`
2. Find `(n!)/(m!)`
3. Find `{::}^nP_r`
4. Find `{::}^nC_r`
5. How many words can be formed from the letters of the word daughter?
6. How many ways a committee of players can be formed ?
7. Permutation, combination list
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Formula
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`1. {::}^n P_r = (n!) / ((n-r)!)`
`2. {::}^n C_r = (n!) / ((r!) (n-r)!)`
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