हिंदी

In How Many Ways Can a Committee of 5 Be Made Out of 6 Men and 4 Women Containing at Least One Women? (A) 246 (B) 222 (C) 186 (D) None of These

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प्रश्न

In how many ways can a committee of 5 be made out of 6 men and 4 women containing at least one women?

विकल्प

  •  246

  •  222

  • 186

  • none of these

MCQ
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उत्तर

246

\[\text{Required number of ways} =^4 C_1 \times {}^6 C_4 +^4 C_2 \times {}^6 C_3 +^4 C_3 \times {}^6 C_2 +^4 C_4 \times {}^6 C_1 \]
\[ = 60 + 120 + 60 + 6 \]
\[ = 246\]

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अध्याय 17: Combinations - Exercise 17.5 [पृष्ठ २५]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 17 Combinations
Exercise 17.5 | Q 14 | पृष्ठ २५

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