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Your office has arranged for a box of food packets conting2 pack ets of noodles Jackets 3 of pasta and 4 packets of sushiIn how many ways can you pick 3 food pockets from the box so that least one of them contains pasta? |
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Answer» ong>Given: Number of PACKETS of NOODLES = 2 Number of packets of pasta = 3 Number of packets of sushi = 4 To find: Number of ways of PICKING 3 food packets so that at least one of them contains pasta. Solution: The number of possibilities will be:
The total number of possibilities will be: = 3C1 × 6C2 + 3C2 × 6C1 + 3C3 = 3 × 15 + 3 × 6 + 1 = 45 + 18 + 1 = 64 Thus the number of required possibilities is 64. |
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