answersLogoWhite

0

Prove that nCr plus nCr minus 1 equals n plus 1Cr?

Updated: 4/28/2022
User Avatar

Sharoon65

Lvl 1
14y ago

Best Answer

nCr + nCr-1 = n!/[r!(n-r)!] + n!/[(r-1)!(n-r+1)!]

= n!/[(r-1)!(n-r)!]*{1/r + 1/n-r+1}

= n!/[(r-1)!(n-r)!]*{[(n-r+1) + r]/[r*(n-r+1)]}

= n!/[(r-1)!(n-r)!]*{(n+1)/r*(n-r+1)]}

= (n+1)!/[r!(n+1-r)!]

= n+1Cr

User Avatar

Wiki User

14y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Prove that nCr plus nCr minus 1 equals n plus 1Cr?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Other Math
Related questions

How much does a bar license cost in hyderabad?

1cr...


What is the term for recent life in paleontology?

1Cr insurance for Rs.515 - Cheapest Term Insurance in India


Is there tertestials mentioned in the bible?

1Cr 15:40[There are] also celestial bodies, and bodies terrestrial: but the glory of the celestial [is] one, and the [glory] of the terrestrial [is] another.


Southwest airlines headquarters located?

Dallas, Texas. Southwest Airlines P.O. Box 36647 - 1CR Dallas, Texas 75235-1647


How do get the hauted helmet in halo reach?

To get the haunted helmet you need to BE ABLE to buy every helmet and attachment in the armory (excludes Waypoint helmets), so you need to be around General Rank. Then buy the PILOT HELMET and ATTACHMENTS, after this another attachment will appear. This is the Haunted Helmet, all you have to do is buy it for 1cR!!!


How many times does the bible warn us to not be deceived?

Deu 11:16Take heed to yourselves, that your heart be not deceived, and ye turn aside, and serve other gods, and worship them;Luk 21:8And he said, Take heed that ye be not deceived: for many shall come in my name, saying, I am [Christ]; and the time draweth near: go ye not therefore after them.1Cr 6:9Know ye not that the unrighteous shall not inherit the kingdom of God? Be not deceived: neither fornicators, nor idolaters, nor adulterers, nor effeminate, nor abusers of themselves with mankind,1Cr 15:33Be not deceived: evil communications corrupt good mannersGal 6:7Be not deceived; God is not mocked: for whatsoever a man soweth, that shall he also reap.


Does the word NATURE appear in the Bible?

The word "nature" appears in the following verses in the King James Version: Rom 1:26 Rom 2:14 Rom 2:27 Rom 11:24 1Cr 11:14 Gal 2:15 Gal 4:8 Eph 2:3 Hbr 2:16 Jam 3:6 2Pe 1:4


What is the correct octane rating for 9.8 to 1 compression ratio?

It really depends on the motor, heads(iron/aluminum), cam. For example an older iron head 350 with a small cam with 9.8:1CR will need 93 maybe even octane booster. While a small bore aluminum head engine could run 89 maybe even 87 depending on cam size.


What is the weight of one crore Indian rupees for a 500 note?

Old R5 Wildebeest mass is 7grams. New R5 Wildebeest mass is 9grams.


Where in the Bible do you find knowledge?

On every page. The Bible is full of knowledge. The word Knowledge appears in 169 verses. Gen 2:9 Gen 2:17 Exd 31:3 Exd 35:31 Lev 4:23 Lev 4:28 Num 15:24 Num 24:16 Deu 1:39 Rth 2:10 Rth 2:19 1Sa 2:3 1Sa 23:23 1Ki 9:27 2Ch 1:10 2Ch 1:11 2Ch 1:12 2Ch 8:18 2Ch 30:22 Neh 10:28 Job 15:2 Job 21:14 Job 21:22 Job 33:3 Job 34:2 Job 34:35 Job 35:16 Job 36:3 Job 36:4 Job 36:12 Job 37:16 Job 38:2 Job 42:3 Psa 14:4 Psa 19:2 Psa 53:4 Psa 73:11 Psa 94:10 Psa 119:66 Psa 139:6 Psa 144:3 Pro 1:4 Pro 1:7 Pro 1:22 Pro 1:29 Pro 2:3 Pro 2:5 Pro 2:6 Pro 2:10 Pro 3:20 Pro 5:2 Pro 8:9 Pro 8:10 Pro 8:12 Pro 9:10 Pro 10:14 Pro 11:9 Pro 12:1 Pro 12:23 Pro 13:16 Pro 14:6 Pro 14:7 Pro 14:18 Pro 15:2 Pro 15:7 Pro 15:14 Pro 17:27 Pro 18:15 Pro 19:2 Pro 19:25 Pro 19:27 Pro 20:15 Pro 21:11 Pro 22:12 Pro 22:17 Pro 22:20 Pro 23:12 Pro 24:4 Pro 24:5 Pro 24:14 Pro 28:2 Pro 30:3 Ecc 1:16 Ecc 1:18 Ecc 2:21 Ecc 2:26 Ecc 7:12 Ecc 9:10 Ecc 12:9 Isa 5:13 Isa 8:4 Isa 11:2 Isa 11:9 Isa 28:9 Isa 32:4 Isa 33:6 Isa 40:14 Isa 44:19 Isa 44:25 Isa 45:20 Isa 47:10 Isa 53:11 Isa 58:3 Jer 3:15 Jer 4:22 Jer 10:14 Jer 11:18 Jer 51:17 Dan 1:4 Dan 1:17 Dan 2:21 Dan 5:12 Dan 12:4 Hsa 4:1 Hsa 4:6 Hsa 6:6 Hab 2:14 Mal 2:7 Mat 14:35 Luk 1:77 Luk 11:52 Act 4:13 Act 17:13 Act 24:8 Act 24:22 Rom 1:28 Rom 2:20 Rom 3:20 Rom 10:2 Rom 11:33 Rom 15:14 1Cr 1:5 1Cr 8:1 1Cr 8:7 1Cr 8:10 1Cr 8:11 1Cr 12:8 1Cr 13:2 1Cr 13:8 1Cr 14:6 1Cr 15:34 2Cr 2:14 2Cr 4:6 2Cr 6:6 2Cr 8:7 2Cr 10:5 2Cr 11:6 Eph 1:17 Eph 3:4 Eph 3:19 Eph 4:13 Phl 1:9 Phl 3:8 Col 1:9 Col 1:10 Col 2:3 Col 3:10 1Ti 2:4 2Ti 3:7 Hbr 10:26 Jam 3:13 1Pe 3:7 2Pe 1:2 2Pe 1:3 2Pe 1:5 2Pe 1:6 2Pe 1:8 2Pe 2:20 2Pe 3:18


Is it a sin to be under the pastorship of a woman?

Not if you are a woman! 1Cr 11:3 But I would have you know, that the head of every man is Christ; and the head of the woman [is] the man; and the head of Christ [is] God. (KJV @ blueletterbible.org) According to the Bible: God is over Christ and man, man over his wife (the woman). So if the man is being led by a woman (in this case the female clergy is guiding and leading), the perfect order of leadership is disrupted. God's order is perfect and designed with love. It is designed to protect us.


Why do stars stay in the galaxy?

Each galaxy is a collection of billions of stars; we have no idea if there are any life forms on the planets around those other stars, perhaps looking at OUR galaxy and asking "What is the purpose of all the other galaxies?"Everything that is created has a purpose by the Creator:Gen 1:16 And God made two great lights; the greater light to rule the day, and the lesser light to rule the night: [he made] the stars also.Psa 147:4 He telleth the number of the stars; he calleth them all by [their] names.Deu 1:8 Behold, I have set the land before you: go in and possess the land which the LORD sware unto your fathers, Abraham, Isaac, and Jacob, to give unto them and to their seed after them.Deu 1:10 The LORD your God hath multiplied you, and, behold, ye [are] this day as the stars of heaven for multitude.Psa 8:4 What is man, that thou art mindful of him? and the son of man, that thou visitest him?Hbr 2:7 Thou madest him a little lower than the angels; thou crownedst him with glory and honour, and didst set him over the works of thy hands:Hbr 2:8 Thou hast put 'all things' in subjection under his feet. For in that he put all in subjection under him, he left nothing [that is] not put under him. But now we see not yet all things put under him.1Cr 15:51 Behold, I shew you a mystery; We shall not all sleep, but we shall all be changed,1Cr 15:52 In a moment, in the twinkling of an eye, at the last trump: for the trumpet shall sound, and the dead shall be raised incorruptible, and we shall be changed.1Cr 15:53 For this corruptible must put on incorruption, and this mortal [must] put on immortality.1Cr 15:54 So when this corruptible shall have put on incorruption, and this mortal shall have put on immortality, then shall be brought to pass the saying that is written, Death is swallowed up in victory.Rev 22:4 And they shall see his face; and his name [shall be] in their foreheads.Rev 22:5 And there shall be no night there; and they need no candle, neither light of the sun; for the Lord God giveth them light: and they shall reign for ever and ever.