(D) The student needs to select a total of $6$ questions from $11$ questions such that at least $2$ questions are selected from each section.The possi

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(D) The student needs to select a total of $6$ questions from $11$ questions such that at least $2$ questions are selected from each section.The possible cases are:$\text{Section-}I$$\text{Section-}II$$\text{No. of ways}$$2$$4$$^6C_2 \times ^5C_4 = 15 \times 5 = 75$$3$$3$$^6C_3 \times ^5C_3 = 20 \times 10 = 200$$4$$2$$^6C_4 \times ^5C_2 = 15 \times 10 = 150$Total number of ways = $75 + 200 + 150 = 425$.

Class 11 Mathematics Permutation and Combination Definition of combinations, Condition combinations

Medium

If a question paper consists of $11$ questions divided into two sections,$I$ and $II$. Section $I$ consists of $6$ questions and section $II$ consists of $5$ questions,then the number of different ways a student can select $6$ questions,taking at least $2$ questions from each section,is

MHT CET 2022 All MHT CET

A
$350$
B
$225$
C
$275$
D
$425$

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Permutation and Combination

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Definition of combinations, Condition combinations

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If a question paper consists of $11$ questions divided into two sections,$I$ and $II$. Section $I$ consists of $6$ questions and section $II$ consists of $5$ questions,then the number of different ways a student can select $6$ questions,taking at least $2$ questions from each section,is

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$A$ man has $10$ friends. In how many ways can he invite one or more of them to a party?

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