At our camp we were told to make as many different sandwiches as possible.We had cheese,tomato,lettuce and ham available so we made sandwiches with no filling,some with just ham,others with ham and cheese,others with ham,cheese and lettuce and so on.How many different sandwiches could we make
Answers
Given : At our camp we were told to make as many different sandwiches as possible.
We had cheese,tomato,lettuce and ham available so we made sandwiches with no filling, ome with just ham, others with ham and cheese,others with ham,cheese and lettuce and so on.
To Find : How many different sandwiches could we make
Solution:
cheese
tomato
lettuce
ham
there are 4 products
Each product Either can be used or not used Hence 2 ways to select
so Total Possible ways = 2 * 2 * 2 * 2 = 16
16 different sandwiches could be made
Other way "
No filling = ⁴C₀ = 1 Way
1 filling = ⁴C₁ = 4 ways
2 fillings = ⁴C₂ = 6 ways
3 fillings = ⁴C₃ = 4 ways
4 filling = ⁴C₄ = 1 way
Hence total = 16 ways
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