Total given consonants = 7
Total given vowels = 4
No. of consonant to be selected = 4
No. of vowel to be selected = 2
No. of ways for selecting 4 consonants out of 7 = C(7, 4) = 35
No. of ways for selecting 2 consonants out of 4 = C(4, 2) = 6
No. of arrangement for 6 letters word = 6! = 720
Hence the total number of arrangement = 35*6*720 = 151200