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
Answers
Complete 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.