Answer: There are 56 boys in the 10th grade
Step-by-step explanation:
Step 1
ratio of boys to girls in the 10th grade is 8 :13
Number of girls= 91
To find the number of boys, we first find the total number of boys and girls in the 10th grade
Step 2
Now the total ratio= 8 +13=21
Number of girls = ratio of girls/ total ratio x Total number of students
91=13/ 21 x Total number of students
Total number of students =21 x 91 / 13 =147
Step 3
Therefore Number of boys =ratio of boys/ total ratio x Total number of student
8/21 x 147=56
Answer:
3221
Step-by-step explanation:
By using lcm method
2 12600
2 6300
2 3150
3 1575
3 525
5 175
5 35
7 7
1

therefore the number is 3221
Answer:
(1) 60
(2) 487635
Step-by-step explanation:
(1) Distinguishable shuffles means that all the cards must be different from each other. We have 9 different cards types having 4 cards each and 1 card having 24 copies of it. So, in a distinguishable shuffle, we can get 1 card each from the 9 different cards (C1 - C9) and another card from the set of 24 identical cards. So we will have a total of 10 cards.
The possible ways of getting these cards are:
9 x (⁴C₁) + ²⁴C₁
(9 x 4) + 24 = 60
There are 60 distinguishable shuffles.
(2) Here we are simply asked to calculate the number of 4-card combinations that can be drawn from the deck of 60 cards. It is not mentioned that the cards must be distinguishable so,
Possible hands of four cards = ⁶⁰C₄ = 487635
Answer: is the answer hehehehe