permutation/ combination help needed!!
"Giving a brief explanation of your method, calculate the number of different ways in which the letters of the word TRIANGLES can be arranged if no two vowels may come together."
how do you do that!!????
how do you do that!!????
Bluebird93
"Giving a brief explanation of your method, calculate the number of different ways in which the letters of the word TRIANGLES can be arranged if no two vowels may come together."
how do you do that!!????
how do you do that!!????
Consider the consonants first, how many arrangements are there?
Next bit's in the spoiler, but have a think first.
Spoiler
there are 6 consonants so... 6! would be the number of arrangements possible
for any arrangement there must be atleast one consonant between any two vowels then it would be:
6!x3!x5!x2!x4!x1!x3!x2!x1!
the ones in orange are possibilities for the vowels... but the answer is said to be 151200 n m no where close to tht
for any arrangement there must be atleast one consonant between any two vowels then it would be:
6!x3!x5!x2!x4!x1!x3!x2!x1!
the ones in orange are possibilities for the vowels... but the answer is said to be 151200 n m no where close to tht
try this,
1.you have 6 consonants i.e. TRNGLS, so there are 6! ways to arrange them
2.now, imagine 'slotting' the vowels in between such that theres AT LEAST 1 consonant between them
you have 3 distinct vowels, so there are 7P3 ways to arrange them
(i don't have a calculator with me now) but doing:
6! X 7P3 should give you the correct answer
ok i just calculated, the answer is 151200
6X5X4X3X2X1 X 7X6X5
1.you have 6 consonants i.e. TRNGLS, so there are 6! ways to arrange them
2.now, imagine 'slotting' the vowels in between such that theres AT LEAST 1 consonant between them
you have 3 distinct vowels, so there are 7P3 ways to arrange them
(i don't have a calculator with me now) but doing:
6! X 7P3 should give you the correct answer
ok i just calculated, the answer is 151200
6X5X4X3X2X1 X 7X6X5
like that???!!! oh wow!
thankz all!!!!1
thankz all!!!!1
Original post by wintersodapop
try this,
1.you have 6 consonants i.e. TRNGLS, so there are 6! ways to arrange them
2.now, imagine 'slotting' the vowels in between such that theres AT LEAST 1 consonant between them
you have 3 distinct vowels, so there are 7P3 ways to arrange them
(i don't have a calculator with me now) but doing:
6! X 7P3 should give you the correct answer
ok i just calculated, the answer is 151200
6X5X4X3X2X1 X 7X6X5
1.you have 6 consonants i.e. TRNGLS, so there are 6! ways to arrange them
2.now, imagine 'slotting' the vowels in between such that theres AT LEAST 1 consonant between them
you have 3 distinct vowels, so there are 7P3 ways to arrange them
(i don't have a calculator with me now) but doing:
6! X 7P3 should give you the correct answer
ok i just calculated, the answer is 151200
6X5X4X3X2X1 X 7X6X5
you are a beautiful human being and i love you
sincerely two maths students with an S1 exam tomorrow!!
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