Your office has arranged for a box of food packets conting2 packets of

1.	Your office has arranged for a box of food packets conting2 packets 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» 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.

Your office has arranged for a box of food packets conting2 packets 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»

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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Your office has arranged for a box of food packets conting2 packets 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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Your office has arranged for a box of food packets conting2 packets 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?