Activity 2: Solve first all the problems and follow the pattern in filling in the blank in the table to arrive the answer on the question, "What is
the smallest number that can be divided exactly by all the numbers from 1 to 10?(COMBINATION)
"What is the smallest number that can be divided exactly by all the numbers from 1 to 10?"
A B B C D
1. How many 4-digit numbers can be formed from the digits 1, 3, 5, 6, 8, 9 if no repetition is allowed?
2. In a group of 8 darters, only the top 2 will be given an award. In how many ways can the organizer select the top 2 players?
3. Suppose there are 7 consonants and4 vowels, how many words of 3 consonant and 2 vowels can be formed?
4. In how many ways can 4 mango trees be planted in 6 holes dug by the residents of San Carlos?
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Activity 2
SOLUTION:
1 2 3 4 5 * 6 7 8 9 10
1 2 3 2*2 5 2*3 7 2*2*2 3*3 2*5
So the smallest number must contain:
2^3, 3^2, 7, 5
So it is:
2^3 * 3^2 * 7 * 5
=2520
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2.Given! In a group of 8 dancer.
3.Solution:Total number of consonante = 7
Total number of vowels =4
consonante needed to form words =3
vowels needed to form words =2
Total words=7(3 * 4(2
4.4. Given: 4 mango trees to be planted.
To find: In how many ways can 4 mango trees be planted in 6 holes dug by the residents Pangi?
Solution : Since, there are 6 holes and 4 mango trees.
Hence, number of ways planting possible is