20/5=4 (to find a fifth of 20 apples)
4x2=8 (to find what 2 fifths is)
He used 8 apples
Answer:
26-17i
Step-by-step explanation:
remove parentheses
group like terms
add similar elements
add the numbers
Hope it helps :)
Slope intercept form is y=mx+b, therefore your answer is D.
Hope this helped :)
Answer:
a) 15!×16×15×...×7
b)
.
c) ![25\cdot 24\cdot \binom{23}{4}\binom{19}{5}\binom{14}{3}\binom{11}{3}\binom{9}{3}](https://tex.z-dn.net/?f=25%5Ccdot%2024%5Ccdot%20%5Cbinom%7B23%7D%7B4%7D%5Cbinom%7B19%7D%7B5%7D%5Cbinom%7B14%7D%7B3%7D%5Cbinom%7B11%7D%7B3%7D%5Cbinom%7B9%7D%7B3%7D)
Step-by-step explanation:
a) There are 15! ways to line the women first. Now, a man can be placed either to the left of some woman (giving 15 choices) or to the right of the last woman on the line (1 additional choice). So the number of ways of placing the men is 16×15×...×7, that is, 10-permutations of 16. Then the number of ways to line everyone is 15!×16×15×...×7.
b) First, choose 3 women of said committee. There are 15 women and we must choose 3, then there are
ways of doing this. Afterwards, choose 3 men for the commitee. There are 10 men, so the number of ways of doing this is
. The commitee must have 8 people and we already chose 6, so we must choose 2 more persons. There are 25 people in total and we chose 6 of them before, so there are 19 who aren't in the committee. Then the number of ways of completing the commitee is
. The number of ways of doing all of this (and creating the commitee) is
.
c) There are 25 choices for a president. After choosing a president, there are 24 choices for the secretary. 23 people remain, then there are
ways of choosing the social commitee. We are left with 19 people, thus there are
ways to form the social commitee. Similarly, because 14 people haven't been selected, there are
ways to form the working groups. We conclude that there are
ways of conforming all the groups.
Answer:
Step-by-step explanation:
240 said apple juice and 340 said orange juice.