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UPSC Prelims

Mathematics

Theme:

Permutation and Combination / क्रमचय और संचय

Q67 2017, Permutation and Combination

If 2 boys and 2 girls are to be arranged in a row so that the girls are not next to each other, how many possible arrangements are there?

यदि 2 लड़कों और 2 लड़कियों को एक पंक्ति में इस व्यवस्था में खड़ा करना हो कि लड़कियाँ एक-दूसरे के अगल-बगल खड़ी न हों, तो कितनी संभव व्यवस्थाएँ हो सकती हैं?

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Possible cases are – GBBG – 4 cases (as boys and girls can exchange seats within the group making it 2 x 2), BGBG – 4 cases, GBGB – 4 cases.

Total = 4 + 4 + 4 = 12 cases. Hence answer is (c).

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