Question

Syd chooses two different primes, both of which are greater than 10, and multiplies them. The resulting product is less than 400. How many different products could Syd have ended up with?

Answer 1

To find the number of different products Syd could have ended up with, we need to determine the number of possible pairs of primes that meet the given conditions.

Step-by-step explanation:

To find the number of different products Syd could have ended up with, we need to determine the number of possible pairs of primes that meet the given conditions.

First, we list all the prime numbers greater than 10: 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

We can choose any two primes from this list and multiply them together to get a product. Since we need to choose two different primes, the order does not matter.

Using the combination formula, we can calculate the number of ways to choose 2 primes out of 21: C(21, 2) = 210.

Therefore, Syd could have ended up with 210 different products.

Answer 2

The answer is 10 !!!!!!!