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your office has arranged for a box of packets containing 2 packets of noodles , 3 packet of pasta and 4 packets of in how many ways can you pick 3 food packets from the box |
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Answer» lete Question - Your office has ARRANGED for a box of food packets conting2 pack ets of noodles Jackets 3 of PASTA and 4 packets of sushi In how MANY ways can you pick 3 food pockets from the box so that least one of them contains pasta? Given: Total packets of noodles = 2 Total packets of pasta = 3 Total packets of sushi = 4 To find: Number of ways to pick three food packets out of which one is pasta. Solution: Determining the possibilities - One pasta packet and two non pasta packet = 3C1 × 6C2 Two pasta packet and one non pasta packet = 3C2 × 6C1 Three pasta packets = 3C3 Therefore, total number of possibilities will be: = 3C1 x 6C2 + 3C2 x 6C1 + 3C3 = 3 x 15 + 3 x 6 + 1 = 45 + 18 + 1 = 64 ANSWER: Possibilities to pick up pasta box is is 64. |
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