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Standard XII

Mathematics

Combination with Restrictions

A father with...

Question

A father with $8$ children takes them $3$ at a time to the zoological garden, as often as he can without taking the same $3$ children together more than once. Then the number of times a particular child will not go to the zoological garden is

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Solution

Number of ways particular children will not go to garden $=$ Number of ways of selecting $3$ children from $7$
$=^{7} C_{3} = 35$

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Combination with Restrictions

Standard XII Mathematics

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A father with 8 children takes them 3 at a time to the zoological garden, as often as he can without taking the same 3 children together more than once. Then the number of times a particular child will not go to the zoological garden is

Number of ways particular children will not go to garden = Number of ways of selecting 3 children from 7 =7C3=35

A father with $8$ children takes them $3$ at a time to the zoological garden, as often as he can without taking the same $3$ children together more than once. Then the number of times a particular child will not go to the zoological garden is

Number of ways particular children will not go to garden $=$ Number of ways of selecting $3$ children from $7$
$=^{7} C_{3} = 35$