Explanation
n(H) = 10 {people who speak hindi}
n(E) = 8 {People who speak English}
n(E\cup H) = 15 (total)
n (E \cap H) = 10 + 8 – 15 = 3 (Speaking both)
People who speak hindi only = 10 – 3 = 7
Total ways of selecting 2 people = 15C_{2} = 105
Favourable ways = 7C_{1} \times 3C_{1} = 21
Probability of occurrence = \dfrac {21}{105} = \dfrac {1}{5}
\dfrac { { { n }_{ C } }_{ r } }{ { { n }_{ C } }_{ r+1 } } =\dfrac { 3 }{ 4 }
\dfrac { r+1 }{ n-r } =\dfrac { 3 }{ 4 }
\dfrac { { { n }_{ C } }_{ r+1 } }{ { { n }_{ C } }_{ r+2 } } =\dfrac { 4 }{ 5 }
\dfrac { r+2 }{ n-r-1 } =\dfrac { 4 }{ 5 }
On\quad solving\quad above\quad we\quad get\quad r=26,n=62
2n+3r=238
The total number of different combinations of oneor more letters which can be made from the letter of the word MISSISSIPPI is,
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