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(This is pigeonhole in reverse) A person needs to collect 100 identical coupons. There are 6...

(This is pigeonhole in reverse) A person needs to collect 100 identical coupons. There are 6 types of coupons available. How many coupons must the person collect in order to guarantee 100 identical coupons? Please provide a step-by-step explanation.

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Answer #1

Answer-

We know that one person needs to collect 100 identical coupons.

And 6 types of coupons are available.

To guarantee 1 identical coupon, a person needs to collect coupons = 1 x 6

= 6

(Because there are 6 different types of coupons available here)

Similarly,

To guarantee 100 identical coupon, a person needs to collect coupons = 1 x 6

= 600

To guarantee 100 identical coupons, one has to collect 600 coupons. Because there are 6 different types of coupons available, if you buy less than 600 coupons, your chances of having 100 similar coupons are reduced.

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