1
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Question

# There are four married couples in a club. In how many ways can a committee of five members out of the members of the four couples be formed so as it contains two couple? एक क्लब में चार विवाहित जोड़े हैं। चार जोड़ों में से पाँच सदस्यों की एक समिति कितने तरीके से बनाई जा सकती है ताकि समिति में दो विवाहित जोड़े हों?

A
15
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B
30
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C
20
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D
24
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Solution

## The correct option is D 24The number of ways in which a couple can be selected = 4C2 = 6. The number of ways in which the fifth member of the team can be selected = 4C1 = 4 Hence, the required number of ways = 4 × 6 = 24. जोड़े के चयन किए जाने के तरीकों की संख्या = 4C2 = 6 टीम के पाँचवे सदस्य के चयन किए जाने के तरीकों की संख्या = 4C1 = 4 अत: अपेक्षित तरीकों की संख्या = 4 × 6 = 24

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