Question
A committee of5 is to be formed from 6 boys and 5 girls The number of ways that the committee can be formed so that the committee contains at least one boy and one girl having majority of boys is
- 240
- 245
- 250
- 275
The correct answer is: 275
Related Questions to study
If n and are integers such that
then n c (n‐l, r‐l)=
If n and are integers such that
then n c (n‐l, r‐l)=
The least value of the natural number
n satisfying ![c left parenthesis n comma 5 right parenthesis plus c left parenthesis n comma 6 right parenthesis greater than c left parenthesis n plus 1 comma 5 right parenthesis](data:image/png;base64,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)
The least value of the natural number
n satisfying ![c left parenthesis n comma 5 right parenthesis plus c left parenthesis n comma 6 right parenthesis greater than c left parenthesis n plus 1 comma 5 right parenthesis](data:image/png;base64,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)
then (n, r)=
then (n, r)=
then ‘n’ is
then ‘n’ is
If
= mC2, then
C2 is equal to -
Students must know how to open expressions like nCr.
Also, the value of n! is n.(n−1).(n−2).....3.2.1.
Combination is used to select r objects from n objects when the arrangement of the objects does not matter.
If
= mC2, then
C2 is equal to -
Students must know how to open expressions like nCr.
Also, the value of n! is n.(n−1).(n−2).....3.2.1.
Combination is used to select r objects from n objects when the arrangement of the objects does not matter.