ssume Amy is making a sandwich for lunch and needs to select her sandwich fixings. She will select two meats out of 5 options, 1 cheese out of 3 options, and exactly 3 or exactly 5 vegetables out of the 7 options. She will also decide whether to add mayo or not. How many ways can she make her sandwich.
Assume Amy is making a sandwich for lunch and needs to select her sandwich fixings. She will select two meats out of 5 options, 1 cheese out of 3 options, and exactly 3 or exactly 5 vegetables out of the 7 options. She will also decide whether to add mayo or not. How many ways can she make her sandwich.
Given that
Amy is making a sandwich for lunch and needs to select her sandwich fixings.
She will select two meats out of 5 options = 5C2 = 10 ways.
She will select 1 cheese out of 3 options = 3C1 = 3 ways.
She will select exactly 3 or exactly 5 vegetables = 2 ways [ Either 3 or 5 veggies ]
Number of ways of selecting 3 vegetables from 7 available = 7C3 =35 ways.
Number of ways of selecting 5 vegetables from 7 available = 7C5 = 21 ways.
She will also decide whether to add mayo or not = 2 ways.
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