A) There are 34 ways to split up the 5 consonants around the 3 vowels.
For each of those ways, the consonants can be permuted in 5!/2! ways.
34*5!/2! = 2040
5000 = CCCCCVVV
4100
4010
4001
3200
3020
3002
3110
3101 = CCCVCVVC
3011
2300
2030
2003
2210
2201
2120
2102
2012
2021
1400
1040
1004
1310
1301
1220
1202
1022
1211
1121
1112
1040
1004
1031
1013
See what you can do for B and C.
consider the word MULTIPLE then in how many ways letters of word MULTIPLE can be arranged
A) without changing the order of vowels equals
B) keeping the position of each vowel fixed equals
C) without changing the relative order / position of vowels and consonants
1 answer