1.

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?​

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:

  • 1 pasta packet and 2 non pasta packet = 3C1 × 6C2
  • 2 pasta packet and 1 non pasta packet = 3C2 × 6C1
  • 3 pasta packet = 3C3

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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