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Answer :
15 different combinations can be used by John to buy the cake and the hammer.
Given,
John buys a cake at a bakery and a hammer at a hardware store
Number of hardware shops = 5
Number of bakeries = 3
We have to find the combinations of stores he can purchase;
Here,
5 hardware shops; H₁, H₂, H₃, H₄, H₅
3 bakeries; B₁, B₂, B₃
Now,
The combinations be like;
B₁ ; (H₁, H₂, H₃, H₄, H₅)
B₂ ; (H₁, H₂, H₃, H₄, H₅)
B₃ ; (H₁, H₂, H₃, H₄, H₅)
That is,
3 bakeries and 5 hardware shops
= 3 x 5
= 15
Therefore,
John can buy the cake and hammer in 15 different combinations.
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