Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
Showing 101-110 of 609 questions.
How many ways are there to choose exactly (2) sweets from (6) sweets?
B. (15)
ठीक (2) चुनने का अर्थ \(\binom{6}{2}\) है। इसका मान (15) है। / Choosing exactly (2) means \(\binom{6}{2}\). Its value is (15).
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B. (36)
स्थान तय नहीं है इसलिए केवल रंगों का चयन है। तरीके \(\binom{9}{2}=36\) हैं। / Positions are not fixed, so only colors are selected. The ways are \(\binom{9}{2}=36\).
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What is the total number of ways to choose (0) gifts or (1) gift from (10) different gifts?
B. (11)
कुल तरीके \(\binom{10}{0}+\binom{10}{1}=1+10=11\) हैं। (0) चयन को भी शामिल करें। / Total ways are \(\binom{10}{0}+\binom{10}{1}=1+10=11\). Include the (0) selection too.
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How many ways are there to choose exactly (4) chapters from (7) chapters for revision?
B. (35)
अध्यायों का क्रम नहीं पूछा गया है। इसलिए \(\binom{7}{4}=35\) होगा। / The order of chapters is not asked. Therefore \(\binom{7}{4}=35\).
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In how many ways can (2) questions be left out from (11) questions?
B. (55)
छोड़ने के लिए (2) प्रश्न चुनने हैं। इसलिए \(\binom{11}{2}=55\) तरीके हैं। / We need to choose (2) questions to leave out. Hence there are \(\binom{11}{2}=55\) ways.
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Selecting (9) students from (12) students is equal to not selecting how many students from (12)?
B. (3)
\(\binom{12}{9}=\binom{12}{3}\) होता है। (9) चुनना (3) न चुनने के बराबर है। / \(\binom{12}{9}=\binom{12}{3}\). Selecting (9) is the same as not selecting (3).
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C. (46)
कुल \(\binom{8}{3}=56\) हैं और केवल लड़के \(\binom{5}{3}=10\) हैं। इसलिए (56-10=46) तरीके हैं। / Total ways are \(\binom{8}{3}=56\), and all-boy selections are \(\binom{5}{3}=10\). Therefore (56-10=46) ways.
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How many ways are there to choose (2) badges from (18) different badges?
A. (153)
दो बैज चुनने के तरीके \(\binom{18}{2}=153\) हैं। चयन में क्रम नहीं गिना जाता। / The number of ways is \(\binom{18}{2}=153\). Order is not counted in selection.
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In how many ways can a duty team of (5) volunteers be selected from (10) volunteers?
B. (252)
टीम चुनना संयोजन है इसलिए \(\binom{10}{5}=252\) होगा। पद न दिए हों तो क्रम नहीं देखें। / Selecting a team is a combination, so \(\binom{10}{5}=252\). If posts are not assigned, do not consider order.
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How many ways can (3) chapters be selected from (13) different chapters for revision?
C. (286)
अध्यायों का केवल चयन है। इसलिए \(\binom{13}{3}=286\) सही है। / Only selection of chapters is involved. Hence \(\binom{13}{3}=286\) is correct.
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