a mutual fund has 12 stocks in its portfolio on a given day 5 stocks move up 3 stay the same and

Step 1: Calculate the number of ways 5 stocks can move up out of 12 stocks.

A mutual fund has 12 stocks in its portfolio on a given day...

Transcript

00:01 So here our objective is to find out the ways the different combinations can happen.

00:06 All right.

00:06 So this, we have all the information given.

00:09 So according to that, a mutual fund has a portfolio of 12 stocks.

00:39 So the number of stocks, number of stocks move up is equals to five.

00:53 And number of stocks stays the same.

00:55 Same is equals to three and number of stocks move down is equals to all right so out of 12 stocks out of 12 stocks three stays the same as we know three stays the same so number of combinations are going to be equals to number of combination is going to be equals to well here we are using the combination formula so basically we use the combination formula when we need to find the number of ways of selecting items from a collection such that order of selection does not matter all right so the combination formula is given as we are using the usual combination formula so n c r is to n factorial upon r factorial times n minus r factorial all right so let's substitute the values here 12 12 c3 this is the combination is going to be so this is equals to 12th factorial which is n upon 9 factorial and times n minus r which is three factorial all right so solving this ahead this is equals to 220 okay so now so the remaining 12 minus 3 is equal to 9 all right so nine is the remaining so as we know five goes up five goes up so the number of combination is going to be equals to number of combination is going to be is going to be equals to 9c5.

04:07 That is equals to 9th factorial upon 5 factorial times fourth factorial.

04:18 Okay...

Question

A mutual fund has 12 stocks in its portfolio. On a given day 5 stocks move up, 3 stay the same and 4 move down. In how many ways could this happen?

Question

A mutual fund has 12 stocks in its portfolio. On a given day 5 stocks move up, 3 stay the same and 4 move down. In how many ways could this happen?

Please give Ace some feedback